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Finding the Fourth Proportional to 773.28, 1,160.33 and 718.20

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Solution

The fourth proportional to 773.28, 1,160.33 and 718.20 is: 1,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.28 : 1,160.33 = 718.20 : x
  2. Step 2: Convert to fraction form
    773.28/1,160.33 = 718.20/x
  3. Step 3: Cross multiply
    773.28x = 1,160.33 × 718.20
  4. Step 4: Simplify right side
    773.28x = 833,345.42
  5. Step 5: Solve for x
    x = 833,345.42/773.28
  6. Step 6: Final answer
    x = 1,077.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.