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Finding the Fourth Proportional to 961.31, 1,326.63 and 588.28

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Solution

The fourth proportional to 961.31, 1,326.63 and 588.28 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.31 : 1,326.63 = 588.28 : x
  2. Step 2: Convert to fraction form
    961.31/1,326.63 = 588.28/x
  3. Step 3: Cross multiply
    961.31x = 1,326.63 × 588.28
  4. Step 4: Simplify right side
    961.31x = 780,434.68
  5. Step 5: Solve for x
    x = 780,434.68/961.31
  6. Step 6: Final answer
    x = 811.84

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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.