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Finding the Fourth Proportional to 669.80, 1,002.17 and 464.76

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Solution

The fourth proportional to 669.80, 1,002.17 and 464.76 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.80 : 1,002.17 = 464.76 : x
  2. Step 2: Convert to fraction form
    669.80/1,002.17 = 464.76/x
  3. Step 3: Cross multiply
    669.80x = 1,002.17 × 464.76
  4. Step 4: Simplify right side
    669.80x = 465,769.69
  5. Step 5: Solve for x
    x = 465,769.69/669.80
  6. Step 6: Final answer
    x = 695.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.