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Finding the Fourth Proportional to 1,260.03, 1,738.86 and 762.58

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Solution

The fourth proportional to 1,260.03, 1,738.86 and 762.58 is: 1,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.03 : 1,738.86 = 762.58 : x
  2. Step 2: Convert to fraction form
    1,260.03/1,738.86 = 762.58/x
  3. Step 3: Cross multiply
    1,260.03x = 1,738.86 × 762.58
  4. Step 4: Simplify right side
    1,260.03x = 1,326,019.86
  5. Step 5: Solve for x
    x = 1,326,019.86/1,260.03
  6. Step 6: Final answer
    x = 1,052.37

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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.