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Finding the Fourth Proportional to 1,269.30, 1,902.39 and 575.78

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Solution

The fourth proportional to 1,269.30, 1,902.39 and 575.78 is: 862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.30 : 1,902.39 = 575.78 : x
  2. Step 2: Convert to fraction form
    1,269.30/1,902.39 = 575.78/x
  3. Step 3: Cross multiply
    1,269.30x = 1,902.39 × 575.78
  4. Step 4: Simplify right side
    1,269.30x = 1,095,346.44
  5. Step 5: Solve for x
    x = 1,095,346.44/1,269.30
  6. Step 6: Final answer
    x = 862.95

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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.