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Finding the Fourth Proportional to 691.80, 948.81 and 656.61

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Solution

The fourth proportional to 691.80, 948.81 and 656.61 is: 900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 948.81 = 656.61 : x
  2. Step 2: Convert to fraction form
    691.80/948.81 = 656.61/x
  3. Step 3: Cross multiply
    691.80x = 948.81 × 656.61
  4. Step 4: Simplify right side
    691.80x = 622,998.13
  5. Step 5: Solve for x
    x = 622,998.13/691.80
  6. Step 6: Final answer
    x = 900.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.