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Finding the Fourth Proportional to 908.98, 1,363.80 and 446.71

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Solution

The fourth proportional to 908.98, 1,363.80 and 446.71 is: 670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.98 : 1,363.80 = 446.71 : x
  2. Step 2: Convert to fraction form
    908.98/1,363.80 = 446.71/x
  3. Step 3: Cross multiply
    908.98x = 1,363.80 × 446.71
  4. Step 4: Simplify right side
    908.98x = 609,223.10
  5. Step 5: Solve for x
    x = 609,223.10/908.98
  6. Step 6: Final answer
    x = 670.23

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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.