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Finding the Fourth Proportional to 1,041.28, 1,439.04 and 833.92

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Solution

The fourth proportional to 1,041.28, 1,439.04 and 833.92 is: 1,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.28 : 1,439.04 = 833.92 : x
  2. Step 2: Convert to fraction form
    1,041.28/1,439.04 = 833.92/x
  3. Step 3: Cross multiply
    1,041.28x = 1,439.04 × 833.92
  4. Step 4: Simplify right side
    1,041.28x = 1,200,044.24
  5. Step 5: Solve for x
    x = 1,200,044.24/1,041.28
  6. Step 6: Final answer
    x = 1,152.47

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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.