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Finding the Fourth Proportional to 772.90, 1,159.61 and 425.79

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Solution

The fourth proportional to 772.90, 1,159.61 and 425.79 is: 638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.90 : 1,159.61 = 425.79 : x
  2. Step 2: Convert to fraction form
    772.90/1,159.61 = 425.79/x
  3. Step 3: Cross multiply
    772.90x = 1,159.61 × 425.79
  4. Step 4: Simplify right side
    772.90x = 493,748.21
  5. Step 5: Solve for x
    x = 493,748.21/772.90
  6. Step 6: Final answer
    x = 638.83

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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.