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Finding the Fourth Proportional to 716.68, 988.41 and 575.92

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Solution

The fourth proportional to 716.68, 988.41 and 575.92 is: 794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.68 : 988.41 = 575.92 : x
  2. Step 2: Convert to fraction form
    716.68/988.41 = 575.92/x
  3. Step 3: Cross multiply
    716.68x = 988.41 × 575.92
  4. Step 4: Simplify right side
    716.68x = 569,245.09
  5. Step 5: Solve for x
    x = 569,245.09/716.68
  6. Step 6: Final answer
    x = 794.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.