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Finding the Fourth Proportional to 669.10, 1,002.30 and 463.90

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Solution

The fourth proportional to 669.10, 1,002.30 and 463.90 is: 694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.10 : 1,002.30 = 463.90 : x
  2. Step 2: Convert to fraction form
    669.10/1,002.30 = 463.90/x
  3. Step 3: Cross multiply
    669.10x = 1,002.30 × 463.90
  4. Step 4: Simplify right side
    669.10x = 464,966.97
  5. Step 5: Solve for x
    x = 464,966.97/669.10
  6. Step 6: Final answer
    x = 694.91

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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.