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Finding the Fourth Proportional to 765.75, 1,151.20 and 613.35

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Solution

The fourth proportional to 765.75, 1,151.20 and 613.35 is: 922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.75 : 1,151.20 = 613.35 : x
  2. Step 2: Convert to fraction form
    765.75/1,151.20 = 613.35/x
  3. Step 3: Cross multiply
    765.75x = 1,151.20 × 613.35
  4. Step 4: Simplify right side
    765.75x = 706,088.52
  5. Step 5: Solve for x
    x = 706,088.52/765.75
  6. Step 6: Final answer
    x = 922.09

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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.