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Finding the Fourth Proportional to 998.99, 1,498.49 and 305.66

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Solution

The fourth proportional to 998.99, 1,498.49 and 305.66 is: 458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.99 : 1,498.49 = 305.66 : x
  2. Step 2: Convert to fraction form
    998.99/1,498.49 = 305.66/x
  3. Step 3: Cross multiply
    998.99x = 1,498.49 × 305.66
  4. Step 4: Simplify right side
    998.99x = 458,026.93
  5. Step 5: Solve for x
    x = 458,026.93/998.99
  6. Step 6: Final answer
    x = 458.49

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Half scale
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Double scale
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Similar ratio
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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.