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Finding the Fourth Proportional to 716.93, 1,073.49 and 577.43

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Solution

The fourth proportional to 716.93, 1,073.49 and 577.43 is: 864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.93 : 1,073.49 = 577.43 : x
  2. Step 2: Convert to fraction form
    716.93/1,073.49 = 577.43/x
  3. Step 3: Cross multiply
    716.93x = 1,073.49 × 577.43
  4. Step 4: Simplify right side
    716.93x = 619,865.33
  5. Step 5: Solve for x
    x = 619,865.33/716.93
  6. Step 6: Final answer
    x = 864.61

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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.