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Finding the Fourth Proportional to 1,575.89, 2,363.40 and 834.50

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Solution

The fourth proportional to 1,575.89, 2,363.40 and 834.50 is: 1,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.89 : 2,363.40 = 834.50 : x
  2. Step 2: Convert to fraction form
    1,575.89/2,363.40 = 834.50/x
  3. Step 3: Cross multiply
    1,575.89x = 2,363.40 × 834.50
  4. Step 4: Simplify right side
    1,575.89x = 1,972,245.48
  5. Step 5: Solve for x
    x = 1,972,245.48/1,575.89
  6. Step 6: Final answer
    x = 1,251.51

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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.