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Finding the Fourth Proportional to 1,207.11, 1,665.44 and 675.92

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Solution

The fourth proportional to 1,207.11, 1,665.44 and 675.92 is: 932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.11 : 1,665.44 = 675.92 : x
  2. Step 2: Convert to fraction form
    1,207.11/1,665.44 = 675.92/x
  3. Step 3: Cross multiply
    1,207.11x = 1,665.44 × 675.92
  4. Step 4: Simplify right side
    1,207.11x = 1,125,707.52
  5. Step 5: Solve for x
    x = 1,125,707.52/1,207.11
  6. Step 6: Final answer
    x = 932.56

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Half scale
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1.5x scale

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.