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Finding the Fourth Proportional to 1,141.71, 1,574.47 and 787.06

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Solution

The fourth proportional to 1,141.71, 1,574.47 and 787.06 is: 1,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.71 : 1,574.47 = 787.06 : x
  2. Step 2: Convert to fraction form
    1,141.71/1,574.47 = 787.06/x
  3. Step 3: Cross multiply
    1,141.71x = 1,574.47 × 787.06
  4. Step 4: Simplify right side
    1,141.71x = 1,239,205.31
  5. Step 5: Solve for x
    x = 1,239,205.31/1,141.71
  6. Step 6: Final answer
    x = 1,085.40

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.