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Finding the Fourth Proportional to 498.78, 742.99 and 471.42

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Solution

The fourth proportional to 498.78, 742.99 and 471.42 is: 702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 742.99 = 471.42 : x
  2. Step 2: Convert to fraction form
    498.78/742.99 = 471.42/x
  3. Step 3: Cross multiply
    498.78x = 742.99 × 471.42
  4. Step 4: Simplify right side
    498.78x = 350,260.35
  5. Step 5: Solve for x
    x = 350,260.35/498.78
  6. Step 6: Final answer
    x = 702.23

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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.