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Finding the Fourth Proportional to 475.49, 710.31 and 337.45

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Solution

The fourth proportional to 475.49, 710.31 and 337.45 is: 504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.49 : 710.31 = 337.45 : x
  2. Step 2: Convert to fraction form
    475.49/710.31 = 337.45/x
  3. Step 3: Cross multiply
    475.49x = 710.31 × 337.45
  4. Step 4: Simplify right side
    475.49x = 239,694.11
  5. Step 5: Solve for x
    x = 239,694.11/475.49
  6. Step 6: Final answer
    x = 504.10

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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.