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Finding the Fourth Proportional to 765.59, 1,141.76 and 650.76

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Solution

The fourth proportional to 765.59, 1,141.76 and 650.76 is: 970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.59 : 1,141.76 = 650.76 : x
  2. Step 2: Convert to fraction form
    765.59/1,141.76 = 650.76/x
  3. Step 3: Cross multiply
    765.59x = 1,141.76 × 650.76
  4. Step 4: Simplify right side
    765.59x = 743,008.48
  5. Step 5: Solve for x
    x = 743,008.48/765.59
  6. Step 6: Final answer
    x = 970.51

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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.