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Finding the Fourth Proportional to 835.25, 1,251.55 and 560.33

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Solution

The fourth proportional to 835.25, 1,251.55 and 560.33 is: 839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.25 : 1,251.55 = 560.33 : x
  2. Step 2: Convert to fraction form
    835.25/1,251.55 = 560.33/x
  3. Step 3: Cross multiply
    835.25x = 1,251.55 × 560.33
  4. Step 4: Simplify right side
    835.25x = 701,281.01
  5. Step 5: Solve for x
    x = 701,281.01/835.25
  6. Step 6: Final answer
    x = 839.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.