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Finding the Fourth Proportional to 1,278.21, 1,763.98 and 718.79

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Solution

The fourth proportional to 1,278.21, 1,763.98 and 718.79 is: 991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.21 : 1,763.98 = 718.79 : x
  2. Step 2: Convert to fraction form
    1,278.21/1,763.98 = 718.79/x
  3. Step 3: Cross multiply
    1,278.21x = 1,763.98 × 718.79
  4. Step 4: Simplify right side
    1,278.21x = 1,267,930.49
  5. Step 5: Solve for x
    x = 1,267,930.49/1,278.21
  6. Step 6: Final answer
    x = 991.95

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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.