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Finding the Fourth Proportional to 864.60, 1,290.25 and 772.33

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Solution

The fourth proportional to 864.60, 1,290.25 and 772.33 is: 1,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.60 : 1,290.25 = 772.33 : x
  2. Step 2: Convert to fraction form
    864.60/1,290.25 = 772.33/x
  3. Step 3: Cross multiply
    864.60x = 1,290.25 × 772.33
  4. Step 4: Simplify right side
    864.60x = 996,498.78
  5. Step 5: Solve for x
    x = 996,498.78/864.60
  6. Step 6: Final answer
    x = 1,152.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.