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Finding the Fourth Proportional to 998.35, 1,497.57 and 381.84

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Solution

The fourth proportional to 998.35, 1,497.57 and 381.84 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.35 : 1,497.57 = 381.84 : x
  2. Step 2: Convert to fraction form
    998.35/1,497.57 = 381.84/x
  3. Step 3: Cross multiply
    998.35x = 1,497.57 × 381.84
  4. Step 4: Simplify right side
    998.35x = 571,832.13
  5. Step 5: Solve for x
    x = 571,832.13/998.35
  6. Step 6: Final answer
    x = 572.78

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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.