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Finding the Fourth Proportional to 882.59, 1,322.78 and 558.05

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Solution

The fourth proportional to 882.59, 1,322.78 and 558.05 is: 836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.59 : 1,322.78 = 558.05 : x
  2. Step 2: Convert to fraction form
    882.59/1,322.78 = 558.05/x
  3. Step 3: Cross multiply
    882.59x = 1,322.78 × 558.05
  4. Step 4: Simplify right side
    882.59x = 738,167.97
  5. Step 5: Solve for x
    x = 738,167.97/882.59
  6. Step 6: Final answer
    x = 836.37

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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.