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Finding the Fourth Proportional to 762.24, 1,142.72 and 376.96

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Solution

The fourth proportional to 762.24, 1,142.72 and 376.96 is: 565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.24 : 1,142.72 = 376.96 : x
  2. Step 2: Convert to fraction form
    762.24/1,142.72 = 376.96/x
  3. Step 3: Cross multiply
    762.24x = 1,142.72 × 376.96
  4. Step 4: Simplify right side
    762.24x = 430,759.73
  5. Step 5: Solve for x
    x = 430,759.73/762.24
  6. Step 6: Final answer
    x = 565.12

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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.