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Finding the Fourth Proportional to 961.07, 1,326.39 and 588.10

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Solution

The fourth proportional to 961.07, 1,326.39 and 588.10 is: 811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.07 : 1,326.39 = 588.10 : x
  2. Step 2: Convert to fraction form
    961.07/1,326.39 = 588.10/x
  3. Step 3: Cross multiply
    961.07x = 1,326.39 × 588.10
  4. Step 4: Simplify right side
    961.07x = 780,049.96
  5. Step 5: Solve for x
    x = 780,049.96/961.07
  6. Step 6: Final answer
    x = 811.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.