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Finding the Fourth Proportional to 989.29, 1,362.10 and 871.19

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Solution

The fourth proportional to 989.29, 1,362.10 and 871.19 is: 1,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.29 : 1,362.10 = 871.19 : x
  2. Step 2: Convert to fraction form
    989.29/1,362.10 = 871.19/x
  3. Step 3: Cross multiply
    989.29x = 1,362.10 × 871.19
  4. Step 4: Simplify right side
    989.29x = 1,186,638.91
  5. Step 5: Solve for x
    x = 1,186,638.91/989.29
  6. Step 6: Final answer
    x = 1,199.48

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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.