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Finding the Fourth Proportional to 1,239.27, 1,858.80 and 752.19

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Solution

The fourth proportional to 1,239.27, 1,858.80 and 752.19 is: 1,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.27 : 1,858.80 = 752.19 : x
  2. Step 2: Convert to fraction form
    1,239.27/1,858.80 = 752.19/x
  3. Step 3: Cross multiply
    1,239.27x = 1,858.80 × 752.19
  4. Step 4: Simplify right side
    1,239.27x = 1,398,170.77
  5. Step 5: Solve for x
    x = 1,398,170.77/1,239.27
  6. Step 6: Final answer
    x = 1,128.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.