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Finding the Fourth Proportional to 1,240.26, 1,708.61 and 866.58

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Solution

The fourth proportional to 1,240.26, 1,708.61 and 866.58 is: 1,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.26 : 1,708.61 = 866.58 : x
  2. Step 2: Convert to fraction form
    1,240.26/1,708.61 = 866.58/x
  3. Step 3: Cross multiply
    1,240.26x = 1,708.61 × 866.58
  4. Step 4: Simplify right side
    1,240.26x = 1,480,647.25
  5. Step 5: Solve for x
    x = 1,480,647.25/1,240.26
  6. Step 6: Final answer
    x = 1,193.82

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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.