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Finding the Fourth Proportional to 869.26, 1,199.55 and 519.74

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Solution

The fourth proportional to 869.26, 1,199.55 and 519.74 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.26 : 1,199.55 = 519.74 : x
  2. Step 2: Convert to fraction form
    869.26/1,199.55 = 519.74/x
  3. Step 3: Cross multiply
    869.26x = 1,199.55 × 519.74
  4. Step 4: Simplify right side
    869.26x = 623,454.12
  5. Step 5: Solve for x
    x = 623,454.12/869.26
  6. Step 6: Final answer
    x = 717.22

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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.