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Finding the Fourth Proportional to 2,697.31, 4,045.97 and 749.59

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Solution

The fourth proportional to 2,697.31, 4,045.97 and 749.59 is: 1,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.31 : 4,045.97 = 749.59 : x
  2. Step 2: Convert to fraction form
    2,697.31/4,045.97 = 749.59/x
  3. Step 3: Cross multiply
    2,697.31x = 4,045.97 × 749.59
  4. Step 4: Simplify right side
    2,697.31x = 3,032,818.65
  5. Step 5: Solve for x
    x = 3,032,818.65/2,697.31
  6. Step 6: Final answer
    x = 1,124.39

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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.