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Finding the Fourth Proportional to 1,357.29, 2,034.38 and 772.61

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Solution

The fourth proportional to 1,357.29, 2,034.38 and 772.61 is: 1,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.29 : 2,034.38 = 772.61 : x
  2. Step 2: Convert to fraction form
    1,357.29/2,034.38 = 772.61/x
  3. Step 3: Cross multiply
    1,357.29x = 2,034.38 × 772.61
  4. Step 4: Simplify right side
    1,357.29x = 1,571,774.09
  5. Step 5: Solve for x
    x = 1,571,774.09/1,357.29
  6. Step 6: Final answer
    x = 1,158.02

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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.