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Finding the Fourth Proportional to 874.13, 1,205.57 and 638.91

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Solution

The fourth proportional to 874.13, 1,205.57 and 638.91 is: 881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,205.57 = 638.91 : x
  2. Step 2: Convert to fraction form
    874.13/1,205.57 = 638.91/x
  3. Step 3: Cross multiply
    874.13x = 1,205.57 × 638.91
  4. Step 4: Simplify right side
    874.13x = 770,247.53
  5. Step 5: Solve for x
    x = 770,247.53/874.13
  6. Step 6: Final answer
    x = 881.16

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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.