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Finding the Fourth Proportional to 847.22, 1,269.62 and 651.48

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Solution

The fourth proportional to 847.22, 1,269.62 and 651.48 is: 976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.22 : 1,269.62 = 651.48 : x
  2. Step 2: Convert to fraction form
    847.22/1,269.62 = 651.48/x
  3. Step 3: Cross multiply
    847.22x = 1,269.62 × 651.48
  4. Step 4: Simplify right side
    847.22x = 827,132.04
  5. Step 5: Solve for x
    x = 827,132.04/847.22
  6. Step 6: Final answer
    x = 976.29

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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.