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Finding the Fourth Proportional to 838.40, 1,156.92 and 489.11

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Solution

The fourth proportional to 838.40, 1,156.92 and 489.11 is: 674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.40 : 1,156.92 = 489.11 : x
  2. Step 2: Convert to fraction form
    838.40/1,156.92 = 489.11/x
  3. Step 3: Cross multiply
    838.40x = 1,156.92 × 489.11
  4. Step 4: Simplify right side
    838.40x = 565,861.14
  5. Step 5: Solve for x
    x = 565,861.14/838.40
  6. Step 6: Final answer
    x = 674.93

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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.