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Finding the Fourth Proportional to 997.43, 1,492.13 and 861.93

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Solution

The fourth proportional to 997.43, 1,492.13 and 861.93 is: 1,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.43 : 1,492.13 = 861.93 : x
  2. Step 2: Convert to fraction form
    997.43/1,492.13 = 861.93/x
  3. Step 3: Cross multiply
    997.43x = 1,492.13 × 861.93
  4. Step 4: Simplify right side
    997.43x = 1,286,113.77
  5. Step 5: Solve for x
    x = 1,286,113.77/997.43
  6. Step 6: Final answer
    x = 1,289.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.