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Finding the Fourth Proportional to 908.26, 1,360.26 and 446.35

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Solution

The fourth proportional to 908.26, 1,360.26 and 446.35 is: 668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.26 : 1,360.26 = 446.35 : x
  2. Step 2: Convert to fraction form
    908.26/1,360.26 = 446.35/x
  3. Step 3: Cross multiply
    908.26x = 1,360.26 × 446.35
  4. Step 4: Simplify right side
    908.26x = 607,152.05
  5. Step 5: Solve for x
    x = 607,152.05/908.26
  6. Step 6: Final answer
    x = 668.48

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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.