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Finding the Fourth Proportional to 502.96, 749 and 471.82

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Solution

The fourth proportional to 502.96, 749 and 471.82 is: 702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 749 = 471.82 : x
  2. Step 2: Convert to fraction form
    502.96/749 = 471.82/x
  3. Step 3: Cross multiply
    502.96x = 749 × 471.82
  4. Step 4: Simplify right side
    502.96x = 353,393.18
  5. Step 5: Solve for x
    x = 353,393.18/502.96
  6. Step 6: Final answer
    x = 702.63

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Double scale
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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.