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Finding the Fourth Proportional to 908.84, 1,362.35 and 421.43

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Solution

The fourth proportional to 908.84, 1,362.35 and 421.43 is: 631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.84 : 1,362.35 = 421.43 : x
  2. Step 2: Convert to fraction form
    908.84/1,362.35 = 421.43/x
  3. Step 3: Cross multiply
    908.84x = 1,362.35 × 421.43
  4. Step 4: Simplify right side
    908.84x = 574,129.40
  5. Step 5: Solve for x
    x = 574,129.40/908.84
  6. Step 6: Final answer
    x = 631.71

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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.