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Finding the Fourth Proportional to 959.78, 1,439.64 and 548.34

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Solution

The fourth proportional to 959.78, 1,439.64 and 548.34 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.78 : 1,439.64 = 548.34 : x
  2. Step 2: Convert to fraction form
    959.78/1,439.64 = 548.34/x
  3. Step 3: Cross multiply
    959.78x = 1,439.64 × 548.34
  4. Step 4: Simplify right side
    959.78x = 789,406.80
  5. Step 5: Solve for x
    x = 789,406.80/959.78
  6. Step 6: Final answer
    x = 822.49

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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.