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Finding the Fourth Proportional to 840.22, 1,257.68 and 531

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Solution

The fourth proportional to 840.22, 1,257.68 and 531 is: 794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,257.68 = 531 : x
  2. Step 2: Convert to fraction form
    840.22/1,257.68 = 531/x
  3. Step 3: Cross multiply
    840.22x = 1,257.68 × 531
  4. Step 4: Simplify right side
    840.22x = 667,828.08
  5. Step 5: Solve for x
    x = 667,828.08/840.22
  6. Step 6: Final answer
    x = 794.83

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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.