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Finding the Fourth Proportional to 840.35, 1,257.83 and 449.38

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Solution

The fourth proportional to 840.35, 1,257.83 and 449.38 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.35 : 1,257.83 = 449.38 : x
  2. Step 2: Convert to fraction form
    840.35/1,257.83 = 449.38/x
  3. Step 3: Cross multiply
    840.35x = 1,257.83 × 449.38
  4. Step 4: Simplify right side
    840.35x = 565,235.11
  5. Step 5: Solve for x
    x = 565,235.11/840.35
  6. Step 6: Final answer
    x = 672.62

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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.