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Finding the Fourth Proportional to 1,488.43, 2,232.64 and 448.39

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Solution

The fourth proportional to 1,488.43, 2,232.64 and 448.39 is: 672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.43 : 2,232.64 = 448.39 : x
  2. Step 2: Convert to fraction form
    1,488.43/2,232.64 = 448.39/x
  3. Step 3: Cross multiply
    1,488.43x = 2,232.64 × 448.39
  4. Step 4: Simplify right side
    1,488.43x = 1,001,082.98
  5. Step 5: Solve for x
    x = 1,001,082.98/1,488.43
  6. Step 6: Final answer
    x = 672.58

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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.