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Finding the Fourth Proportional to 498.98, 742.80 and 475.40

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Solution

The fourth proportional to 498.98, 742.80 and 475.40 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.98 : 742.80 = 475.40 : x
  2. Step 2: Convert to fraction form
    498.98/742.80 = 475.40/x
  3. Step 3: Cross multiply
    498.98x = 742.80 × 475.40
  4. Step 4: Simplify right side
    498.98x = 353,127.12
  5. Step 5: Solve for x
    x = 353,127.12/498.98
  6. Step 6: Final answer
    x = 707.70

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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.