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Finding the Fourth Proportional to 875.57, 1,310.11 and 701.71

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Solution

The fourth proportional to 875.57, 1,310.11 and 701.71 is: 1,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.57 : 1,310.11 = 701.71 : x
  2. Step 2: Convert to fraction form
    875.57/1,310.11 = 701.71/x
  3. Step 3: Cross multiply
    875.57x = 1,310.11 × 701.71
  4. Step 4: Simplify right side
    875.57x = 919,309.86
  5. Step 5: Solve for x
    x = 919,309.86/875.57
  6. Step 6: Final answer
    x = 1,049.96

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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.