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Finding the Fourth Proportional to 890.45, 1,229.08 and 517.60

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Solution

The fourth proportional to 890.45, 1,229.08 and 517.60 is: 714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.45 : 1,229.08 = 517.60 : x
  2. Step 2: Convert to fraction form
    890.45/1,229.08 = 517.60/x
  3. Step 3: Cross multiply
    890.45x = 1,229.08 × 517.60
  4. Step 4: Simplify right side
    890.45x = 636,171.81
  5. Step 5: Solve for x
    x = 636,171.81/890.45
  6. Step 6: Final answer
    x = 714.44

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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.