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Finding the Fourth Proportional to 908.59, 1,363.12 and 421.99

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Solution

The fourth proportional to 908.59, 1,363.12 and 421.99 is: 633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.59 : 1,363.12 = 421.99 : x
  2. Step 2: Convert to fraction form
    908.59/1,363.12 = 421.99/x
  3. Step 3: Cross multiply
    908.59x = 1,363.12 × 421.99
  4. Step 4: Simplify right side
    908.59x = 575,223.01
  5. Step 5: Solve for x
    x = 575,223.01/908.59
  6. Step 6: Final answer
    x = 633.09

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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.