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Finding the Fourth Proportional to 1,398.35, 2,098.02 and 618.25

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Solution

The fourth proportional to 1,398.35, 2,098.02 and 618.25 is: 927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.35 : 2,098.02 = 618.25 : x
  2. Step 2: Convert to fraction form
    1,398.35/2,098.02 = 618.25/x
  3. Step 3: Cross multiply
    1,398.35x = 2,098.02 × 618.25
  4. Step 4: Simplify right side
    1,398.35x = 1,297,097.77
  5. Step 5: Solve for x
    x = 1,297,097.77/1,398.35
  6. Step 6: Final answer
    x = 927.59

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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.