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Finding the Fourth Proportional to 762.45, 1,140.92 and 631.23

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Solution

The fourth proportional to 762.45, 1,140.92 and 631.23 is: 944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.45 : 1,140.92 = 631.23 : x
  2. Step 2: Convert to fraction form
    762.45/1,140.92 = 631.23/x
  3. Step 3: Cross multiply
    762.45x = 1,140.92 × 631.23
  4. Step 4: Simplify right side
    762.45x = 720,177.86
  5. Step 5: Solve for x
    x = 720,177.86/762.45
  6. Step 6: Final answer
    x = 944.56

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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.