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Finding the Fourth Proportional to 835.92, 1,156.68 and 725.76

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Solution

The fourth proportional to 835.92, 1,156.68 and 725.76 is: 1,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,156.68 = 725.76 : x
  2. Step 2: Convert to fraction form
    835.92/1,156.68 = 725.76/x
  3. Step 3: Cross multiply
    835.92x = 1,156.68 × 725.76
  4. Step 4: Simplify right side
    835.92x = 839,472.08
  5. Step 5: Solve for x
    x = 839,472.08/835.92
  6. Step 6: Final answer
    x = 1,004.25

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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.