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Finding the Fourth Proportional to 908.84, 1,362.17 and 420.85

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Solution

The fourth proportional to 908.84, 1,362.17 and 420.85 is: 630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.84 : 1,362.17 = 420.85 : x
  2. Step 2: Convert to fraction form
    908.84/1,362.17 = 420.85/x
  3. Step 3: Cross multiply
    908.84x = 1,362.17 × 420.85
  4. Step 4: Simplify right side
    908.84x = 573,269.24
  5. Step 5: Solve for x
    x = 573,269.24/908.84
  6. Step 6: Final answer
    x = 630.77

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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.