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Finding the Fourth Proportional to 762.42, 1,145.88 and 633.24

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Solution

The fourth proportional to 762.42, 1,145.88 and 633.24 is: 951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.42 : 1,145.88 = 633.24 : x
  2. Step 2: Convert to fraction form
    762.42/1,145.88 = 633.24/x
  3. Step 3: Cross multiply
    762.42x = 1,145.88 × 633.24
  4. Step 4: Simplify right side
    762.42x = 725,617.05
  5. Step 5: Solve for x
    x = 725,617.05/762.42
  6. Step 6: Final answer
    x = 951.73

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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.