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Finding the Fourth Proportional to 908.42, 1,362.39 and 388.16

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Solution

The fourth proportional to 908.42, 1,362.39 and 388.16 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.42 : 1,362.39 = 388.16 : x
  2. Step 2: Convert to fraction form
    908.42/1,362.39 = 388.16/x
  3. Step 3: Cross multiply
    908.42x = 1,362.39 × 388.16
  4. Step 4: Simplify right side
    908.42x = 528,825.30
  5. Step 5: Solve for x
    x = 528,825.30/908.42
  6. Step 6: Final answer
    x = 582.14

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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.