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Finding the Fourth Proportional to 913.44, 1,259.70 and 773.85

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Solution

The fourth proportional to 913.44, 1,259.70 and 773.85 is: 1,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.44 : 1,259.70 = 773.85 : x
  2. Step 2: Convert to fraction form
    913.44/1,259.70 = 773.85/x
  3. Step 3: Cross multiply
    913.44x = 1,259.70 × 773.85
  4. Step 4: Simplify right side
    913.44x = 974,818.85
  5. Step 5: Solve for x
    x = 974,818.85/913.44
  6. Step 6: Final answer
    x = 1,067.20

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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.