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Finding the Fourth Proportional to 1,281.44, 1,768.32 and 784.91

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Solution

The fourth proportional to 1,281.44, 1,768.32 and 784.91 is: 1,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.44 : 1,768.32 = 784.91 : x
  2. Step 2: Convert to fraction form
    1,281.44/1,768.32 = 784.91/x
  3. Step 3: Cross multiply
    1,281.44x = 1,768.32 × 784.91
  4. Step 4: Simplify right side
    1,281.44x = 1,387,963.21
  5. Step 5: Solve for x
    x = 1,387,963.21/1,281.44
  6. Step 6: Final answer
    x = 1,083.13

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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.