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Finding the Fourth Proportional to 765.36, 1,142.46 and 663.36

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Solution

The fourth proportional to 765.36, 1,142.46 and 663.36 is: 990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.36 : 1,142.46 = 663.36 : x
  2. Step 2: Convert to fraction form
    765.36/1,142.46 = 663.36/x
  3. Step 3: Cross multiply
    765.36x = 1,142.46 × 663.36
  4. Step 4: Simplify right side
    765.36x = 757,862.27
  5. Step 5: Solve for x
    x = 757,862.27/765.36
  6. Step 6: Final answer
    x = 990.20

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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.