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Finding the Fourth Proportional to 1,228.78, 1,842.47 and 571.31

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Solution

The fourth proportional to 1,228.78, 1,842.47 and 571.31 is: 856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.78 : 1,842.47 = 571.31 : x
  2. Step 2: Convert to fraction form
    1,228.78/1,842.47 = 571.31/x
  3. Step 3: Cross multiply
    1,228.78x = 1,842.47 × 571.31
  4. Step 4: Simplify right side
    1,228.78x = 1,052,627.57
  5. Step 5: Solve for x
    x = 1,052,627.57/1,228.78
  6. Step 6: Final answer
    x = 856.65

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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.