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Finding the Fourth Proportional to 966.52, 1,449.06 and 581.68

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Solution

The fourth proportional to 966.52, 1,449.06 and 581.68 is: 872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.52 : 1,449.06 = 581.68 : x
  2. Step 2: Convert to fraction form
    966.52/1,449.06 = 581.68/x
  3. Step 3: Cross multiply
    966.52x = 1,449.06 × 581.68
  4. Step 4: Simplify right side
    966.52x = 842,889.22
  5. Step 5: Solve for x
    x = 842,889.22/966.52
  6. Step 6: Final answer
    x = 872.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.