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Finding the Fourth Proportional to 874.80, 1,204.67 and 707.74

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Solution

The fourth proportional to 874.80, 1,204.67 and 707.74 is: 974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,204.67 = 707.74 : x
  2. Step 2: Convert to fraction form
    874.80/1,204.67 = 707.74/x
  3. Step 3: Cross multiply
    874.80x = 1,204.67 × 707.74
  4. Step 4: Simplify right side
    874.80x = 852,591.90
  5. Step 5: Solve for x
    x = 852,591.90/874.80
  6. Step 6: Final answer
    x = 974.61

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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.