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Finding the Fourth Proportional to 666.93, 997.89 and 461.90

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Solution

The fourth proportional to 666.93, 997.89 and 461.90 is: 691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.93 : 997.89 = 461.90 : x
  2. Step 2: Convert to fraction form
    666.93/997.89 = 461.90/x
  3. Step 3: Cross multiply
    666.93x = 997.89 × 461.90
  4. Step 4: Simplify right side
    666.93x = 460,930.05
  5. Step 5: Solve for x
    x = 460,930.05/666.93
  6. Step 6: Final answer
    x = 691.12

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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.