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Finding the Fourth Proportional to 1,273.47, 1,751.57 and 1,024.25

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Solution

The fourth proportional to 1,273.47, 1,751.57 and 1,024.25 is: 1,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.47 : 1,751.57 = 1,024.25 : x
  2. Step 2: Convert to fraction form
    1,273.47/1,751.57 = 1,024.25/x
  3. Step 3: Cross multiply
    1,273.47x = 1,751.57 × 1,024.25
  4. Step 4: Simplify right side
    1,273.47x = 1,794,041.30
  5. Step 5: Solve for x
    x = 1,794,041.30/1,273.47
  6. Step 6: Final answer
    x = 1,408.78

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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.