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Finding the Fourth Proportional to 470.28, 702.45 and 397.38

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Solution

The fourth proportional to 470.28, 702.45 and 397.38 is: 593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.28 : 702.45 = 397.38 : x
  2. Step 2: Convert to fraction form
    470.28/702.45 = 397.38/x
  3. Step 3: Cross multiply
    470.28x = 702.45 × 397.38
  4. Step 4: Simplify right side
    470.28x = 279,139.58
  5. Step 5: Solve for x
    x = 279,139.58/470.28
  6. Step 6: Final answer
    x = 593.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.