Home / 998.28-1,374.30-916.20

Finding the Fourth Proportional to 998.28, 1,374.30 and 916.20

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Solution

The fourth proportional to 998.28, 1,374.30 and 916.20 is: 1,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.28 : 1,374.30 = 916.20 : x
  2. Step 2: Convert to fraction form
    998.28/1,374.30 = 916.20/x
  3. Step 3: Cross multiply
    998.28x = 1,374.30 × 916.20
  4. Step 4: Simplify right side
    998.28x = 1,259,133.66
  5. Step 5: Solve for x
    x = 1,259,133.66/998.28
  6. Step 6: Final answer
    x = 1,261.30

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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.