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Finding the Fourth Proportional to 1,278.98, 1,764.98 and 711.81

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Solution

The fourth proportional to 1,278.98, 1,764.98 and 711.81 is: 982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.98 : 1,764.98 = 711.81 : x
  2. Step 2: Convert to fraction form
    1,278.98/1,764.98 = 711.81/x
  3. Step 3: Cross multiply
    1,278.98x = 1,764.98 × 711.81
  4. Step 4: Simplify right side
    1,278.98x = 1,256,329.52
  5. Step 5: Solve for x
    x = 1,256,329.52/1,278.98
  6. Step 6: Final answer
    x = 982.29

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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.