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Finding the Fourth Proportional to 918.35, 1,378.49 and 548.15

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Solution

The fourth proportional to 918.35, 1,378.49 and 548.15 is: 822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.35 : 1,378.49 = 548.15 : x
  2. Step 2: Convert to fraction form
    918.35/1,378.49 = 548.15/x
  3. Step 3: Cross multiply
    918.35x = 1,378.49 × 548.15
  4. Step 4: Simplify right side
    918.35x = 755,627.85
  5. Step 5: Solve for x
    x = 755,627.85/918.35
  6. Step 6: Final answer
    x = 822.81

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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.