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Finding the Fourth Proportional to 1,223.70, 1,836.45 and 762.15

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Solution

The fourth proportional to 1,223.70, 1,836.45 and 762.15 is: 1,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.70 : 1,836.45 = 762.15 : x
  2. Step 2: Convert to fraction form
    1,223.70/1,836.45 = 762.15/x
  3. Step 3: Cross multiply
    1,223.70x = 1,836.45 × 762.15
  4. Step 4: Simplify right side
    1,223.70x = 1,399,641.19
  5. Step 5: Solve for x
    x = 1,399,641.19/1,223.70
  6. Step 6: Final answer
    x = 1,143.78

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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.