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Finding the Fourth Proportional to 1,422.30, 2,133.52 and 448.47

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Solution

The fourth proportional to 1,422.30, 2,133.52 and 448.47 is: 672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.30 : 2,133.52 = 448.47 : x
  2. Step 2: Convert to fraction form
    1,422.30/2,133.52 = 448.47/x
  3. Step 3: Cross multiply
    1,422.30x = 2,133.52 × 448.47
  4. Step 4: Simplify right side
    1,422.30x = 956,819.71
  5. Step 5: Solve for x
    x = 956,819.71/1,422.30
  6. Step 6: Final answer
    x = 672.73

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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.