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Finding the Fourth Proportional to 1,291.38, 1,782.66 and 871.98

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Solution

The fourth proportional to 1,291.38, 1,782.66 and 871.98 is: 1,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.38 : 1,782.66 = 871.98 : x
  2. Step 2: Convert to fraction form
    1,291.38/1,782.66 = 871.98/x
  3. Step 3: Cross multiply
    1,291.38x = 1,782.66 × 871.98
  4. Step 4: Simplify right side
    1,291.38x = 1,554,443.87
  5. Step 5: Solve for x
    x = 1,554,443.87/1,291.38
  6. Step 6: Final answer
    x = 1,203.71

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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.