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Finding the Fourth Proportional to 1,029.92, 1,420.79 and 675.69

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Solution

The fourth proportional to 1,029.92, 1,420.79 and 675.69 is: 932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.92 : 1,420.79 = 675.69 : x
  2. Step 2: Convert to fraction form
    1,029.92/1,420.79 = 675.69/x
  3. Step 3: Cross multiply
    1,029.92x = 1,420.79 × 675.69
  4. Step 4: Simplify right side
    1,029.92x = 960,016.68
  5. Step 5: Solve for x
    x = 960,016.68/1,029.92
  6. Step 6: Final answer
    x = 932.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.