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Finding the Fourth Proportional to 762.96, 1,142.40 and 532.12

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Solution

The fourth proportional to 762.96, 1,142.40 and 532.12 is: 796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.96 : 1,142.40 = 532.12 : x
  2. Step 2: Convert to fraction form
    762.96/1,142.40 = 532.12/x
  3. Step 3: Cross multiply
    762.96x = 1,142.40 × 532.12
  4. Step 4: Simplify right side
    762.96x = 607,893.89
  5. Step 5: Solve for x
    x = 607,893.89/762.96
  6. Step 6: Final answer
    x = 796.76

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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.