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Finding the Fourth Proportional to 1,488.39, 2,232.91 and 448.31

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Solution

The fourth proportional to 1,488.39, 2,232.91 and 448.31 is: 672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.39 : 2,232.91 = 448.31 : x
  2. Step 2: Convert to fraction form
    1,488.39/2,232.91 = 448.31/x
  3. Step 3: Cross multiply
    1,488.39x = 2,232.91 × 448.31
  4. Step 4: Simplify right side
    1,488.39x = 1,001,035.88
  5. Step 5: Solve for x
    x = 1,001,035.88/1,488.39
  6. Step 6: Final answer
    x = 672.56

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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.