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Finding the Fourth Proportional to 918.14, 1,378.42 and 548.62

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Solution

The fourth proportional to 918.14, 1,378.42 and 548.62 is: 823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.14 : 1,378.42 = 548.62 : x
  2. Step 2: Convert to fraction form
    918.14/1,378.42 = 548.62/x
  3. Step 3: Cross multiply
    918.14x = 1,378.42 × 548.62
  4. Step 4: Simplify right side
    918.14x = 756,231.72
  5. Step 5: Solve for x
    x = 756,231.72/918.14
  6. Step 6: Final answer
    x = 823.66

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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.