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Finding the Fourth Proportional to 819.02, 1,129.97 and 464.90

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Solution

The fourth proportional to 819.02, 1,129.97 and 464.90 is: 641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.02 : 1,129.97 = 464.90 : x
  2. Step 2: Convert to fraction form
    819.02/1,129.97 = 464.90/x
  3. Step 3: Cross multiply
    819.02x = 1,129.97 × 464.90
  4. Step 4: Simplify right side
    819.02x = 525,318.57
  5. Step 5: Solve for x
    x = 525,318.57/819.02
  6. Step 6: Final answer
    x = 641.40

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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.