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Finding the Fourth Proportional to 507.57, 757.49 and 494.61

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Solution

The fourth proportional to 507.57, 757.49 and 494.61 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 757.49 = 494.61 : x
  2. Step 2: Convert to fraction form
    507.57/757.49 = 494.61/x
  3. Step 3: Cross multiply
    507.57x = 757.49 × 494.61
  4. Step 4: Simplify right side
    507.57x = 374,662.13
  5. Step 5: Solve for x
    x = 374,662.13/507.57
  6. Step 6: Final answer
    x = 738.15

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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.