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Finding the Fourth Proportional to 890.66, 1,229.52 and 517.57

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Solution

The fourth proportional to 890.66, 1,229.52 and 517.57 is: 714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.66 : 1,229.52 = 517.57 : x
  2. Step 2: Convert to fraction form
    890.66/1,229.52 = 517.57/x
  3. Step 3: Cross multiply
    890.66x = 1,229.52 × 517.57
  4. Step 4: Simplify right side
    890.66x = 636,361.53
  5. Step 5: Solve for x
    x = 636,361.53/890.66
  6. Step 6: Final answer
    x = 714.48

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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.