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Finding the Fourth Proportional to 908.59, 1,362.38 and 283.71

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Solution

The fourth proportional to 908.59, 1,362.38 and 283.71 is: 425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.59 : 1,362.38 = 283.71 : x
  2. Step 2: Convert to fraction form
    908.59/1,362.38 = 283.71/x
  3. Step 3: Cross multiply
    908.59x = 1,362.38 × 283.71
  4. Step 4: Simplify right side
    908.59x = 386,520.83
  5. Step 5: Solve for x
    x = 386,520.83/908.59
  6. Step 6: Final answer
    x = 425.41

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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.