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Finding the Fourth Proportional to 925.80, 1,280.08 and 842.96

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Solution

The fourth proportional to 925.80, 1,280.08 and 842.96 is: 1,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.80 : 1,280.08 = 842.96 : x
  2. Step 2: Convert to fraction form
    925.80/1,280.08 = 842.96/x
  3. Step 3: Cross multiply
    925.80x = 1,280.08 × 842.96
  4. Step 4: Simplify right side
    925.80x = 1,079,056.24
  5. Step 5: Solve for x
    x = 1,079,056.24/925.80
  6. Step 6: Final answer
    x = 1,165.54

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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.