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Finding the Fourth Proportional to 874.13, 1,206.06 and 519.95

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Solution

The fourth proportional to 874.13, 1,206.06 and 519.95 is: 717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,206.06 = 519.95 : x
  2. Step 2: Convert to fraction form
    874.13/1,206.06 = 519.95/x
  3. Step 3: Cross multiply
    874.13x = 1,206.06 × 519.95
  4. Step 4: Simplify right side
    874.13x = 627,084.87
  5. Step 5: Solve for x
    x = 627,084.87/874.13
  6. Step 6: Final answer
    x = 717.39

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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.