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Finding the Fourth Proportional to 908.82, 1,362.14 and 420.84

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Solution

The fourth proportional to 908.82, 1,362.14 and 420.84 is: 630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,362.14 = 420.84 : x
  2. Step 2: Convert to fraction form
    908.82/1,362.14 = 420.84/x
  3. Step 3: Cross multiply
    908.82x = 1,362.14 × 420.84
  4. Step 4: Simplify right side
    908.82x = 573,243.00
  5. Step 5: Solve for x
    x = 573,243.00/908.82
  6. Step 6: Final answer
    x = 630.76

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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.