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Finding the Fourth Proportional to 2,458.39, 3,687.49 and 609.49

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Solution

The fourth proportional to 2,458.39, 3,687.49 and 609.49 is: 914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.39 : 3,687.49 = 609.49 : x
  2. Step 2: Convert to fraction form
    2,458.39/3,687.49 = 609.49/x
  3. Step 3: Cross multiply
    2,458.39x = 3,687.49 × 609.49
  4. Step 4: Simplify right side
    2,458.39x = 2,247,488.28
  5. Step 5: Solve for x
    x = 2,247,488.28/2,458.39
  6. Step 6: Final answer
    x = 914.21

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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.