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Finding the Fourth Proportional to 908.89, 1,363.46 and 331.63

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Solution

The fourth proportional to 908.89, 1,363.46 and 331.63 is: 497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.89 : 1,363.46 = 331.63 : x
  2. Step 2: Convert to fraction form
    908.89/1,363.46 = 331.63/x
  3. Step 3: Cross multiply
    908.89x = 1,363.46 × 331.63
  4. Step 4: Simplify right side
    908.89x = 452,164.24
  5. Step 5: Solve for x
    x = 452,164.24/908.89
  6. Step 6: Final answer
    x = 497.49

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Half scale
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Double scale
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1.5x scale

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.