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Finding the Fourth Proportional to 494.02, 680.34 and 462.70

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Solution

The fourth proportional to 494.02, 680.34 and 462.70 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 680.34 = 462.70 : x
  2. Step 2: Convert to fraction form
    494.02/680.34 = 462.70/x
  3. Step 3: Cross multiply
    494.02x = 680.34 × 462.70
  4. Step 4: Simplify right side
    494.02x = 314,793.32
  5. Step 5: Solve for x
    x = 314,793.32/494.02
  6. Step 6: Final answer
    x = 637.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.