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Finding the Fourth Proportional to 494.98, 683.33 and 462.26

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Solution

The fourth proportional to 494.98, 683.33 and 462.26 is: 638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.98 : 683.33 = 462.26 : x
  2. Step 2: Convert to fraction form
    494.98/683.33 = 462.26/x
  3. Step 3: Cross multiply
    494.98x = 683.33 × 462.26
  4. Step 4: Simplify right side
    494.98x = 315,876.13
  5. Step 5: Solve for x
    x = 315,876.13/494.98
  6. Step 6: Final answer
    x = 638.16

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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.