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Finding the Fourth Proportional to 765.48, 1,142.82 and 719.12

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Solution

The fourth proportional to 765.48, 1,142.82 and 719.12 is: 1,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.48 : 1,142.82 = 719.12 : x
  2. Step 2: Convert to fraction form
    765.48/1,142.82 = 719.12/x
  3. Step 3: Cross multiply
    765.48x = 1,142.82 × 719.12
  4. Step 4: Simplify right side
    765.48x = 821,824.72
  5. Step 5: Solve for x
    x = 821,824.72/765.48
  6. Step 6: Final answer
    x = 1,073.61

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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.