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Finding the Fourth Proportional to 883.98, 1,324.44 and 575.46

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Solution

The fourth proportional to 883.98, 1,324.44 and 575.46 is: 862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,324.44 = 575.46 : x
  2. Step 2: Convert to fraction form
    883.98/1,324.44 = 575.46/x
  3. Step 3: Cross multiply
    883.98x = 1,324.44 × 575.46
  4. Step 4: Simplify right side
    883.98x = 762,162.24
  5. Step 5: Solve for x
    x = 762,162.24/883.98
  6. Step 6: Final answer
    x = 862.19

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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.