Home / 1,484.52-2,224.95-826.59

Finding the Fourth Proportional to 1,484.52, 2,224.95 and 826.59

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Solution

The fourth proportional to 1,484.52, 2,224.95 and 826.59 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.52 : 2,224.95 = 826.59 : x
  2. Step 2: Convert to fraction form
    1,484.52/2,224.95 = 826.59/x
  3. Step 3: Cross multiply
    1,484.52x = 2,224.95 × 826.59
  4. Step 4: Simplify right side
    1,484.52x = 1,839,121.42
  5. Step 5: Solve for x
    x = 1,839,121.42/1,484.52
  6. Step 6: Final answer
    x = 1,238.87

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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.