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Finding the Fourth Proportional to 772.43, 1,158.04 and 382.57

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Solution

The fourth proportional to 772.43, 1,158.04 and 382.57 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.43 : 1,158.04 = 382.57 : x
  2. Step 2: Convert to fraction form
    772.43/1,158.04 = 382.57/x
  3. Step 3: Cross multiply
    772.43x = 1,158.04 × 382.57
  4. Step 4: Simplify right side
    772.43x = 443,023.66
  5. Step 5: Solve for x
    x = 443,023.66/772.43
  6. Step 6: Final answer
    x = 573.55

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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.