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Finding the Fourth Proportional to 868.74, 1,199.43 and 537.66

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Solution

The fourth proportional to 868.74, 1,199.43 and 537.66 is: 742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.74 : 1,199.43 = 537.66 : x
  2. Step 2: Convert to fraction form
    868.74/1,199.43 = 537.66/x
  3. Step 3: Cross multiply
    868.74x = 1,199.43 × 537.66
  4. Step 4: Simplify right side
    868.74x = 644,885.53
  5. Step 5: Solve for x
    x = 644,885.53/868.74
  6. Step 6: Final answer
    x = 742.32

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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.