Home / 1,616.29-2,422.47-737.58

Finding the Fourth Proportional to 1,616.29, 2,422.47 and 737.58

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Solution

The fourth proportional to 1,616.29, 2,422.47 and 737.58 is: 1,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.29 : 2,422.47 = 737.58 : x
  2. Step 2: Convert to fraction form
    1,616.29/2,422.47 = 737.58/x
  3. Step 3: Cross multiply
    1,616.29x = 2,422.47 × 737.58
  4. Step 4: Simplify right side
    1,616.29x = 1,786,765.42
  5. Step 5: Solve for x
    x = 1,786,765.42/1,616.29
  6. Step 6: Final answer
    x = 1,105.47

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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.