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Finding the Fourth Proportional to 884.78, 1,221.28 and 512.02

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Solution

The fourth proportional to 884.78, 1,221.28 and 512.02 is: 706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.78 : 1,221.28 = 512.02 : x
  2. Step 2: Convert to fraction form
    884.78/1,221.28 = 512.02/x
  3. Step 3: Cross multiply
    884.78x = 1,221.28 × 512.02
  4. Step 4: Simplify right side
    884.78x = 625,319.79
  5. Step 5: Solve for x
    x = 625,319.79/884.78
  6. Step 6: Final answer
    x = 706.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.