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Finding the Fourth Proportional to 1,242.20, 1,714.41 and 745.13

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Solution

The fourth proportional to 1,242.20, 1,714.41 and 745.13 is: 1,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.20 : 1,714.41 = 745.13 : x
  2. Step 2: Convert to fraction form
    1,242.20/1,714.41 = 745.13/x
  3. Step 3: Cross multiply
    1,242.20x = 1,714.41 × 745.13
  4. Step 4: Simplify right side
    1,242.20x = 1,277,449.75
  5. Step 5: Solve for x
    x = 1,277,449.75/1,242.20
  6. Step 6: Final answer
    x = 1,028.38

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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.