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Finding the Fourth Proportional to 1,227.63, 1,842.26 and 578.41

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Solution

The fourth proportional to 1,227.63, 1,842.26 and 578.41 is: 868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.63 : 1,842.26 = 578.41 : x
  2. Step 2: Convert to fraction form
    1,227.63/1,842.26 = 578.41/x
  3. Step 3: Cross multiply
    1,227.63x = 1,842.26 × 578.41
  4. Step 4: Simplify right side
    1,227.63x = 1,065,581.61
  5. Step 5: Solve for x
    x = 1,065,581.61/1,227.63
  6. Step 6: Final answer
    x = 868.00

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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.