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Finding the Fourth Proportional to 998.64, 1,377.05 and 699.79

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Solution

The fourth proportional to 998.64, 1,377.05 and 699.79 is: 964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,377.05 = 699.79 : x
  2. Step 2: Convert to fraction form
    998.64/1,377.05 = 699.79/x
  3. Step 3: Cross multiply
    998.64x = 1,377.05 × 699.79
  4. Step 4: Simplify right side
    998.64x = 963,638.88
  5. Step 5: Solve for x
    x = 963,638.88/998.64
  6. Step 6: Final answer
    x = 964.95

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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.