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Finding the Fourth Proportional to 998.19, 1,378.76 and 841.35

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Solution

The fourth proportional to 998.19, 1,378.76 and 841.35 is: 1,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.19 : 1,378.76 = 841.35 : x
  2. Step 2: Convert to fraction form
    998.19/1,378.76 = 841.35/x
  3. Step 3: Cross multiply
    998.19x = 1,378.76 × 841.35
  4. Step 4: Simplify right side
    998.19x = 1,160,012.83
  5. Step 5: Solve for x
    x = 1,160,012.83/998.19
  6. Step 6: Final answer
    x = 1,162.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.