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Finding the Fourth Proportional to 670.97, 1,006.04 and 454.70

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Solution

The fourth proportional to 670.97, 1,006.04 and 454.70 is: 681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.97 : 1,006.04 = 454.70 : x
  2. Step 2: Convert to fraction form
    670.97/1,006.04 = 454.70/x
  3. Step 3: Cross multiply
    670.97x = 1,006.04 × 454.70
  4. Step 4: Simplify right side
    670.97x = 457,439.08
  5. Step 5: Solve for x
    x = 457,439.08/670.97
  6. Step 6: Final answer
    x = 681.76

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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.