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Finding the Fourth Proportional to 1,739.74, 2,610.46 and 765.72

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Solution

The fourth proportional to 1,739.74, 2,610.46 and 765.72 is: 1,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.74 : 2,610.46 = 765.72 : x
  2. Step 2: Convert to fraction form
    1,739.74/2,610.46 = 765.72/x
  3. Step 3: Cross multiply
    1,739.74x = 2,610.46 × 765.72
  4. Step 4: Simplify right side
    1,739.74x = 1,998,881.43
  5. Step 5: Solve for x
    x = 1,998,881.43/1,739.74
  6. Step 6: Final answer
    x = 1,148.95

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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.