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Finding the Fourth Proportional to 835.40, 1,155.11 and 731.72

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Solution

The fourth proportional to 835.40, 1,155.11 and 731.72 is: 1,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.40 : 1,155.11 = 731.72 : x
  2. Step 2: Convert to fraction form
    835.40/1,155.11 = 731.72/x
  3. Step 3: Cross multiply
    835.40x = 1,155.11 × 731.72
  4. Step 4: Simplify right side
    835.40x = 845,207.66
  5. Step 5: Solve for x
    x = 845,207.66/835.40
  6. Step 6: Final answer
    x = 1,011.75

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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.