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Finding the Fourth Proportional to 765.24, 1,142.20 and 709.48

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Solution

The fourth proportional to 765.24, 1,142.20 and 709.48 is: 1,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.24 : 1,142.20 = 709.48 : x
  2. Step 2: Convert to fraction form
    765.24/1,142.20 = 709.48/x
  3. Step 3: Cross multiply
    765.24x = 1,142.20 × 709.48
  4. Step 4: Simplify right side
    765.24x = 810,368.06
  5. Step 5: Solve for x
    x = 810,368.06/765.24
  6. Step 6: Final answer
    x = 1,058.97

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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.