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Finding the Fourth Proportional to 495.72, 738.57 and 471.24

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Solution

The fourth proportional to 495.72, 738.57 and 471.24 is: 702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 738.57 = 471.24 : x
  2. Step 2: Convert to fraction form
    495.72/738.57 = 471.24/x
  3. Step 3: Cross multiply
    495.72x = 738.57 × 471.24
  4. Step 4: Simplify right side
    495.72x = 348,043.73
  5. Step 5: Solve for x
    x = 348,043.73/495.72
  6. Step 6: Final answer
    x = 702.10

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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.