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Finding the Fourth Proportional to 961.90, 1,326.04 and 646.61

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Solution

The fourth proportional to 961.90, 1,326.04 and 646.61 is: 891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.90 : 1,326.04 = 646.61 : x
  2. Step 2: Convert to fraction form
    961.90/1,326.04 = 646.61/x
  3. Step 3: Cross multiply
    961.90x = 1,326.04 × 646.61
  4. Step 4: Simplify right side
    961.90x = 857,422.48
  5. Step 5: Solve for x
    x = 857,422.48/961.90
  6. Step 6: Final answer
    x = 891.39

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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.