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Finding the Fourth Proportional to 762.57, 1,052.34 and 447.78

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Solution

The fourth proportional to 762.57, 1,052.34 and 447.78 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.57 : 1,052.34 = 447.78 : x
  2. Step 2: Convert to fraction form
    762.57/1,052.34 = 447.78/x
  3. Step 3: Cross multiply
    762.57x = 1,052.34 × 447.78
  4. Step 4: Simplify right side
    762.57x = 471,217.56
  5. Step 5: Solve for x
    x = 471,217.56/762.57
  6. Step 6: Final answer
    x = 617.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.