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Finding the Fourth Proportional to 871.77, 1,314.03 and 821.55

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Solution

The fourth proportional to 871.77, 1,314.03 and 821.55 is: 1,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.77 : 1,314.03 = 821.55 : x
  2. Step 2: Convert to fraction form
    871.77/1,314.03 = 821.55/x
  3. Step 3: Cross multiply
    871.77x = 1,314.03 × 821.55
  4. Step 4: Simplify right side
    871.77x = 1,079,541.35
  5. Step 5: Solve for x
    x = 1,079,541.35/871.77
  6. Step 6: Final answer
    x = 1,238.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.