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Finding the Fourth Proportional to 1,278.99, 1,919.30 and 732.24

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Solution

The fourth proportional to 1,278.99, 1,919.30 and 732.24 is: 1,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.99 : 1,919.30 = 732.24 : x
  2. Step 2: Convert to fraction form
    1,278.99/1,919.30 = 732.24/x
  3. Step 3: Cross multiply
    1,278.99x = 1,919.30 × 732.24
  4. Step 4: Simplify right side
    1,278.99x = 1,405,384.57
  5. Step 5: Solve for x
    x = 1,405,384.57/1,278.99
  6. Step 6: Final answer
    x = 1,098.82

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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.