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Finding the Fourth Proportional to 884.47, 1,323.27 and 638.24

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Solution

The fourth proportional to 884.47, 1,323.27 and 638.24 is: 954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.47 : 1,323.27 = 638.24 : x
  2. Step 2: Convert to fraction form
    884.47/1,323.27 = 638.24/x
  3. Step 3: Cross multiply
    884.47x = 1,323.27 × 638.24
  4. Step 4: Simplify right side
    884.47x = 844,566.64
  5. Step 5: Solve for x
    x = 844,566.64/884.47
  6. Step 6: Final answer
    x = 954.89

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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.