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Finding the Fourth Proportional to 835.72, 1,154.82 and 724.84

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Solution

The fourth proportional to 835.72, 1,154.82 and 724.84 is: 1,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.72 : 1,154.82 = 724.84 : x
  2. Step 2: Convert to fraction form
    835.72/1,154.82 = 724.84/x
  3. Step 3: Cross multiply
    835.72x = 1,154.82 × 724.84
  4. Step 4: Simplify right side
    835.72x = 837,059.73
  5. Step 5: Solve for x
    x = 837,059.73/835.72
  6. Step 6: Final answer
    x = 1,001.60

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1.5x scale

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.