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Finding the Fourth Proportional to 961.27, 1,326.55 and 519.17

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Solution

The fourth proportional to 961.27, 1,326.55 and 519.17 is: 716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.27 : 1,326.55 = 519.17 : x
  2. Step 2: Convert to fraction form
    961.27/1,326.55 = 519.17/x
  3. Step 3: Cross multiply
    961.27x = 1,326.55 × 519.17
  4. Step 4: Simplify right side
    961.27x = 688,705.45
  5. Step 5: Solve for x
    x = 688,705.45/961.27
  6. Step 6: Final answer
    x = 716.45

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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.