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Finding the Fourth Proportional to 497.40, 742.85 and 416.31

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Solution

The fourth proportional to 497.40, 742.85 and 416.31 is: 621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 742.85 = 416.31 : x
  2. Step 2: Convert to fraction form
    497.40/742.85 = 416.31/x
  3. Step 3: Cross multiply
    497.40x = 742.85 × 416.31
  4. Step 4: Simplify right side
    497.40x = 309,253.80
  5. Step 5: Solve for x
    x = 309,253.80/497.40
  6. Step 6: Final answer
    x = 621.74

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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.