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Finding the Fourth Proportional to 871.18, 1,312.81 and 789.17

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Solution

The fourth proportional to 871.18, 1,312.81 and 789.17 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.18 : 1,312.81 = 789.17 : x
  2. Step 2: Convert to fraction form
    871.18/1,312.81 = 789.17/x
  3. Step 3: Cross multiply
    871.18x = 1,312.81 × 789.17
  4. Step 4: Simplify right side
    871.18x = 1,036,021.73
  5. Step 5: Solve for x
    x = 1,036,021.73/871.18
  6. Step 6: Final answer
    x = 1,189.22

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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.