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Finding the Fourth Proportional to 842.81, 1,256.92 and 771.93

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Solution

The fourth proportional to 842.81, 1,256.92 and 771.93 is: 1,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.81 : 1,256.92 = 771.93 : x
  2. Step 2: Convert to fraction form
    842.81/1,256.92 = 771.93/x
  3. Step 3: Cross multiply
    842.81x = 1,256.92 × 771.93
  4. Step 4: Simplify right side
    842.81x = 970,252.33
  5. Step 5: Solve for x
    x = 970,252.33/842.81
  6. Step 6: Final answer
    x = 1,151.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.