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Finding the Fourth Proportional to 1,129.53, 1,694.36 and 471.47

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Solution

The fourth proportional to 1,129.53, 1,694.36 and 471.47 is: 707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.53 : 1,694.36 = 471.47 : x
  2. Step 2: Convert to fraction form
    1,129.53/1,694.36 = 471.47/x
  3. Step 3: Cross multiply
    1,129.53x = 1,694.36 × 471.47
  4. Step 4: Simplify right side
    1,129.53x = 798,839.91
  5. Step 5: Solve for x
    x = 798,839.91/1,129.53
  6. Step 6: Final answer
    x = 707.23

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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.