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Finding the Fourth Proportional to 670.17, 1,003.90 and 461.43

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Solution

The fourth proportional to 670.17, 1,003.90 and 461.43 is: 691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.17 : 1,003.90 = 461.43 : x
  2. Step 2: Convert to fraction form
    670.17/1,003.90 = 461.43/x
  3. Step 3: Cross multiply
    670.17x = 1,003.90 × 461.43
  4. Step 4: Simplify right side
    670.17x = 463,229.58
  5. Step 5: Solve for x
    x = 463,229.58/670.17
  6. Step 6: Final answer
    x = 691.21

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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.