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Finding the Fourth Proportional to 1,226.52, 1,839.87 and 360.87

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Solution

The fourth proportional to 1,226.52, 1,839.87 and 360.87 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.52 : 1,839.87 = 360.87 : x
  2. Step 2: Convert to fraction form
    1,226.52/1,839.87 = 360.87/x
  3. Step 3: Cross multiply
    1,226.52x = 1,839.87 × 360.87
  4. Step 4: Simplify right side
    1,226.52x = 663,953.89
  5. Step 5: Solve for x
    x = 663,953.89/1,226.52
  6. Step 6: Final answer
    x = 541.33

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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.