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Finding the Fourth Proportional to 718.57, 1,079.39 and 514.45

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Solution

The fourth proportional to 718.57, 1,079.39 and 514.45 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.57 : 1,079.39 = 514.45 : x
  2. Step 2: Convert to fraction form
    718.57/1,079.39 = 514.45/x
  3. Step 3: Cross multiply
    718.57x = 1,079.39 × 514.45
  4. Step 4: Simplify right side
    718.57x = 555,294.82
  5. Step 5: Solve for x
    x = 555,294.82/718.57
  6. Step 6: Final answer
    x = 772.78

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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.