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Finding the Fourth Proportional to 630.50, 944.20 and 520.13

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Solution

The fourth proportional to 630.50, 944.20 and 520.13 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.50 : 944.20 = 520.13 : x
  2. Step 2: Convert to fraction form
    630.50/944.20 = 520.13/x
  3. Step 3: Cross multiply
    630.50x = 944.20 × 520.13
  4. Step 4: Simplify right side
    630.50x = 491,109.76
  5. Step 5: Solve for x
    x = 491,109.76/630.50
  6. Step 6: Final answer
    x = 778.93

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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.