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Finding the Fourth Proportional to 1,631.97, 2,448.33 and 477.72

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Solution

The fourth proportional to 1,631.97, 2,448.33 and 477.72 is: 716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.97 : 2,448.33 = 477.72 : x
  2. Step 2: Convert to fraction form
    1,631.97/2,448.33 = 477.72/x
  3. Step 3: Cross multiply
    1,631.97x = 2,448.33 × 477.72
  4. Step 4: Simplify right side
    1,631.97x = 1,169,616.21
  5. Step 5: Solve for x
    x = 1,169,616.21/1,631.97
  6. Step 6: Final answer
    x = 716.69

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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.