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Finding the Fourth Proportional to 853.92, 1,278.99 and 649.80

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Solution

The fourth proportional to 853.92, 1,278.99 and 649.80 is: 973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.92 : 1,278.99 = 649.80 : x
  2. Step 2: Convert to fraction form
    853.92/1,278.99 = 649.80/x
  3. Step 3: Cross multiply
    853.92x = 1,278.99 × 649.80
  4. Step 4: Simplify right side
    853.92x = 831,087.70
  5. Step 5: Solve for x
    x = 831,087.70/853.92
  6. Step 6: Final answer
    x = 973.26

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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.