Home / 1,217.56-1,824.75-566.86

Finding the Fourth Proportional to 1,217.56, 1,824.75 and 566.86

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Solution

The fourth proportional to 1,217.56, 1,824.75 and 566.86 is: 849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.56 : 1,824.75 = 566.86 : x
  2. Step 2: Convert to fraction form
    1,217.56/1,824.75 = 566.86/x
  3. Step 3: Cross multiply
    1,217.56x = 1,824.75 × 566.86
  4. Step 4: Simplify right side
    1,217.56x = 1,034,377.79
  5. Step 5: Solve for x
    x = 1,034,377.79/1,217.56
  6. Step 6: Final answer
    x = 849.55

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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.