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Finding the Fourth Proportional to 884.12, 1,323.76 and 575.20

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Solution

The fourth proportional to 884.12, 1,323.76 and 575.20 is: 861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.12 : 1,323.76 = 575.20 : x
  2. Step 2: Convert to fraction form
    884.12/1,323.76 = 575.20/x
  3. Step 3: Cross multiply
    884.12x = 1,323.76 × 575.20
  4. Step 4: Simplify right side
    884.12x = 761,426.75
  5. Step 5: Solve for x
    x = 761,426.75/884.12
  6. Step 6: Final answer
    x = 861.23

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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.