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Finding the Fourth Proportional to 1,278.06, 1,763.79 and 718.50

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Solution

The fourth proportional to 1,278.06, 1,763.79 and 718.50 is: 991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.06 : 1,763.79 = 718.50 : x
  2. Step 2: Convert to fraction form
    1,278.06/1,763.79 = 718.50/x
  3. Step 3: Cross multiply
    1,278.06x = 1,763.79 × 718.50
  4. Step 4: Simplify right side
    1,278.06x = 1,267,283.12
  5. Step 5: Solve for x
    x = 1,267,283.12/1,278.06
  6. Step 6: Final answer
    x = 991.57

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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.