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Finding the Fourth Proportional to 630.32, 944.16 and 507.92

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Solution

The fourth proportional to 630.32, 944.16 and 507.92 is: 760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.32 : 944.16 = 507.92 : x
  2. Step 2: Convert to fraction form
    630.32/944.16 = 507.92/x
  3. Step 3: Cross multiply
    630.32x = 944.16 × 507.92
  4. Step 4: Simplify right side
    630.32x = 479,557.75
  5. Step 5: Solve for x
    x = 479,557.75/630.32
  6. Step 6: Final answer
    x = 760.82

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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.