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Finding the Fourth Proportional to 716.10, 986.67 and 575.70

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Solution

The fourth proportional to 716.10, 986.67 and 575.70 is: 793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.10 : 986.67 = 575.70 : x
  2. Step 2: Convert to fraction form
    716.10/986.67 = 575.70/x
  3. Step 3: Cross multiply
    716.10x = 986.67 × 575.70
  4. Step 4: Simplify right side
    716.10x = 568,025.92
  5. Step 5: Solve for x
    x = 568,025.92/716.10
  6. Step 6: Final answer
    x = 793.22

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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.