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Finding the Fourth Proportional to 765.77, 1,142.87 and 713.75

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Solution

The fourth proportional to 765.77, 1,142.87 and 713.75 is: 1,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.77 : 1,142.87 = 713.75 : x
  2. Step 2: Convert to fraction form
    765.77/1,142.87 = 713.75/x
  3. Step 3: Cross multiply
    765.77x = 1,142.87 × 713.75
  4. Step 4: Simplify right side
    765.77x = 815,714.18
  5. Step 5: Solve for x
    x = 815,714.18/765.77
  6. Step 6: Final answer
    x = 1,065.23

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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.