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Finding the Fourth Proportional to 1,278.35, 1,763.97 and 718.75

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Solution

The fourth proportional to 1,278.35, 1,763.97 and 718.75 is: 991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.35 : 1,763.97 = 718.75 : x
  2. Step 2: Convert to fraction form
    1,278.35/1,763.97 = 718.75/x
  3. Step 3: Cross multiply
    1,278.35x = 1,763.97 × 718.75
  4. Step 4: Simplify right side
    1,278.35x = 1,267,853.44
  5. Step 5: Solve for x
    x = 1,267,853.44/1,278.35
  6. Step 6: Final answer
    x = 991.79

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Half scale
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Double 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.