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Finding the Fourth Proportional to 1,673.24, 2,508.09 and 632.79

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Solution

The fourth proportional to 1,673.24, 2,508.09 and 632.79 is: 948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.24 : 2,508.09 = 632.79 : x
  2. Step 2: Convert to fraction form
    1,673.24/2,508.09 = 632.79/x
  3. Step 3: Cross multiply
    1,673.24x = 2,508.09 × 632.79
  4. Step 4: Simplify right side
    1,673.24x = 1,587,086.62
  5. Step 5: Solve for x
    x = 1,587,086.62/1,673.24
  6. Step 6: Final answer
    x = 948.51

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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.