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Finding the Fourth Proportional to 874.50, 1,206.82 and 609.33

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Solution

The fourth proportional to 874.50, 1,206.82 and 609.33 is: 840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.50 : 1,206.82 = 609.33 : x
  2. Step 2: Convert to fraction form
    874.50/1,206.82 = 609.33/x
  3. Step 3: Cross multiply
    874.50x = 1,206.82 × 609.33
  4. Step 4: Simplify right side
    874.50x = 735,348.58
  5. Step 5: Solve for x
    x = 735,348.58/874.50
  6. Step 6: Final answer
    x = 840.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.