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Finding the Fourth Proportional to 1,191.66, 1,787.49 and 644.10

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Solution

The fourth proportional to 1,191.66, 1,787.49 and 644.10 is: 966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.66 : 1,787.49 = 644.10 : x
  2. Step 2: Convert to fraction form
    1,191.66/1,787.49 = 644.10/x
  3. Step 3: Cross multiply
    1,191.66x = 1,787.49 × 644.10
  4. Step 4: Simplify right side
    1,191.66x = 1,151,322.31
  5. Step 5: Solve for x
    x = 1,151,322.31/1,191.66
  6. Step 6: Final answer
    x = 966.15

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.