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Finding the Fourth Proportional to 998.11, 1,496.02 and 510.13

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Solution

The fourth proportional to 998.11, 1,496.02 and 510.13 is: 764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.11 : 1,496.02 = 510.13 : x
  2. Step 2: Convert to fraction form
    998.11/1,496.02 = 510.13/x
  3. Step 3: Cross multiply
    998.11x = 1,496.02 × 510.13
  4. Step 4: Simplify right side
    998.11x = 763,164.68
  5. Step 5: Solve for x
    x = 763,164.68/998.11
  6. Step 6: Final answer
    x = 764.61

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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.