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Finding the Fourth Proportional to 508.38, 757.58 and 494.30

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Solution

The fourth proportional to 508.38, 757.58 and 494.30 is: 736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.38 : 757.58 = 494.30 : x
  2. Step 2: Convert to fraction form
    508.38/757.58 = 494.30/x
  3. Step 3: Cross multiply
    508.38x = 757.58 × 494.30
  4. Step 4: Simplify right side
    508.38x = 374,471.79
  5. Step 5: Solve for x
    x = 374,471.79/508.38
  6. Step 6: Final answer
    x = 736.60

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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.