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Finding the Fourth Proportional to 874.92, 1,207.20 and 665.04

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Solution

The fourth proportional to 874.92, 1,207.20 and 665.04 is: 917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,207.20 = 665.04 : x
  2. Step 2: Convert to fraction form
    874.92/1,207.20 = 665.04/x
  3. Step 3: Cross multiply
    874.92x = 1,207.20 × 665.04
  4. Step 4: Simplify right side
    874.92x = 802,836.29
  5. Step 5: Solve for x
    x = 802,836.29/874.92
  6. Step 6: Final answer
    x = 917.61

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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.