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Finding the Fourth Proportional to 1,229.63, 1,842.80 and 448.90

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Solution

The fourth proportional to 1,229.63, 1,842.80 and 448.90 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.63 : 1,842.80 = 448.90 : x
  2. Step 2: Convert to fraction form
    1,229.63/1,842.80 = 448.90/x
  3. Step 3: Cross multiply
    1,229.63x = 1,842.80 × 448.90
  4. Step 4: Simplify right side
    1,229.63x = 827,223.71
  5. Step 5: Solve for x
    x = 827,223.71/1,229.63
  6. Step 6: Final answer
    x = 672.74

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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.