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Finding the Fourth Proportional to 1,229.71, 1,842.77 and 571.79

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Solution

The fourth proportional to 1,229.71, 1,842.77 and 571.79 is: 856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.71 : 1,842.77 = 571.79 : x
  2. Step 2: Convert to fraction form
    1,229.71/1,842.77 = 571.79/x
  3. Step 3: Cross multiply
    1,229.71x = 1,842.77 × 571.79
  4. Step 4: Simplify right side
    1,229.71x = 1,053,677.46
  5. Step 5: Solve for x
    x = 1,053,677.46/1,229.71
  6. Step 6: Final answer
    x = 856.85

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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.