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Finding the Fourth Proportional to 772.00, 1,157.09 and 424.71

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Solution

The fourth proportional to 772.00, 1,157.09 and 424.71 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.00 : 1,157.09 = 424.71 : x
  2. Step 2: Convert to fraction form
    772.00/1,157.09 = 424.71/x
  3. Step 3: Cross multiply
    772.00x = 1,157.09 × 424.71
  4. Step 4: Simplify right side
    772.00x = 491,425.57
  5. Step 5: Solve for x
    x = 491,425.57/772.00
  6. Step 6: Final answer
    x = 636.56

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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.