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Finding the Fourth Proportional to 882.59, 1,322.06 and 729.50

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Solution

The fourth proportional to 882.59, 1,322.06 and 729.50 is: 1,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.59 : 1,322.06 = 729.50 : x
  2. Step 2: Convert to fraction form
    882.59/1,322.06 = 729.50/x
  3. Step 3: Cross multiply
    882.59x = 1,322.06 × 729.50
  4. Step 4: Simplify right side
    882.59x = 964,442.77
  5. Step 5: Solve for x
    x = 964,442.77/882.59
  6. Step 6: Final answer
    x = 1,092.74

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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.