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Finding the Fourth Proportional to 925.78, 1,277.98 and 611.20

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Solution

The fourth proportional to 925.78, 1,277.98 and 611.20 is: 843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.78 : 1,277.98 = 611.20 : x
  2. Step 2: Convert to fraction form
    925.78/1,277.98 = 611.20/x
  3. Step 3: Cross multiply
    925.78x = 1,277.98 × 611.20
  4. Step 4: Simplify right side
    925.78x = 781,094.26
  5. Step 5: Solve for x
    x = 781,094.26/925.78
  6. Step 6: Final answer
    x = 843.72

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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.