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Finding the Fourth Proportional to 925.92, 1,274.99 and 838.04

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Solution

The fourth proportional to 925.92, 1,274.99 and 838.04 is: 1,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,274.99 = 838.04 : x
  2. Step 2: Convert to fraction form
    925.92/1,274.99 = 838.04/x
  3. Step 3: Cross multiply
    925.92x = 1,274.99 × 838.04
  4. Step 4: Simplify right side
    925.92x = 1,068,482.05
  5. Step 5: Solve for x
    x = 1,068,482.05/925.92
  6. Step 6: Final answer
    x = 1,153.97

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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.