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Finding the Fourth Proportional to 961.72, 1,326.70 and 924.46

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Solution

The fourth proportional to 961.72, 1,326.70 and 924.46 is: 1,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.72 : 1,326.70 = 924.46 : x
  2. Step 2: Convert to fraction form
    961.72/1,326.70 = 924.46/x
  3. Step 3: Cross multiply
    961.72x = 1,326.70 × 924.46
  4. Step 4: Simplify right side
    961.72x = 1,226,481.08
  5. Step 5: Solve for x
    x = 1,226,481.08/961.72
  6. Step 6: Final answer
    x = 1,275.30

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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.