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Finding the Fourth Proportional to 691.26, 954.14 and 470.53

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Solution

The fourth proportional to 691.26, 954.14 and 470.53 is: 649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.26 : 954.14 = 470.53 : x
  2. Step 2: Convert to fraction form
    691.26/954.14 = 470.53/x
  3. Step 3: Cross multiply
    691.26x = 954.14 × 470.53
  4. Step 4: Simplify right side
    691.26x = 448,951.49
  5. Step 5: Solve for x
    x = 448,951.49/691.26
  6. Step 6: Final answer
    x = 649.47

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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.