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Finding the Fourth Proportional to 772.91, 1,158.32 and 425.73

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Solution

The fourth proportional to 772.91, 1,158.32 and 425.73 is: 638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.91 : 1,158.32 = 425.73 : x
  2. Step 2: Convert to fraction form
    772.91/1,158.32 = 425.73/x
  3. Step 3: Cross multiply
    772.91x = 1,158.32 × 425.73
  4. Step 4: Simplify right side
    772.91x = 493,131.57
  5. Step 5: Solve for x
    x = 493,131.57/772.91
  6. Step 6: Final answer
    x = 638.02

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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.