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Finding the Fourth Proportional to 507.16, 762.16 and 494.88

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Solution

The fourth proportional to 507.16, 762.16 and 494.88 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 762.16 = 494.88 : x
  2. Step 2: Convert to fraction form
    507.16/762.16 = 494.88/x
  3. Step 3: Cross multiply
    507.16x = 762.16 × 494.88
  4. Step 4: Simplify right side
    507.16x = 377,177.74
  5. Step 5: Solve for x
    x = 377,177.74/507.16
  6. Step 6: Final answer
    x = 743.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.