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Finding the Fourth Proportional to 998.51, 1,497.75 and 258.11

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Solution

The fourth proportional to 998.51, 1,497.75 and 258.11 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.51 : 1,497.75 = 258.11 : x
  2. Step 2: Convert to fraction form
    998.51/1,497.75 = 258.11/x
  3. Step 3: Cross multiply
    998.51x = 1,497.75 × 258.11
  4. Step 4: Simplify right side
    998.51x = 386,581.41
  5. Step 5: Solve for x
    x = 386,581.41/998.51
  6. Step 6: Final answer
    x = 387.16

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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.