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Finding the Fourth Proportional to 657.09, 983.61 and 461.88

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Solution

The fourth proportional to 657.09, 983.61 and 461.88 is: 691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 983.61 = 461.88 : x
  2. Step 2: Convert to fraction form
    657.09/983.61 = 461.88/x
  3. Step 3: Cross multiply
    657.09x = 983.61 × 461.88
  4. Step 4: Simplify right side
    657.09x = 454,309.79
  5. Step 5: Solve for x
    x = 454,309.79/657.09
  6. Step 6: Final answer
    x = 691.40

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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.