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Finding the Fourth Proportional to 998.16, 1,494.86 and 841.26

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Solution

The fourth proportional to 998.16, 1,494.86 and 841.26 is: 1,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,494.86 = 841.26 : x
  2. Step 2: Convert to fraction form
    998.16/1,494.86 = 841.26/x
  3. Step 3: Cross multiply
    998.16x = 1,494.86 × 841.26
  4. Step 4: Simplify right side
    998.16x = 1,257,565.92
  5. Step 5: Solve for x
    x = 1,257,565.92/998.16
  6. Step 6: Final answer
    x = 1,259.88

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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.