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Finding the Fourth Proportional to 1,098.58, 1,515.50 and 679.18

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Solution

The fourth proportional to 1,098.58, 1,515.50 and 679.18 is: 936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.58 : 1,515.50 = 679.18 : x
  2. Step 2: Convert to fraction form
    1,098.58/1,515.50 = 679.18/x
  3. Step 3: Cross multiply
    1,098.58x = 1,515.50 × 679.18
  4. Step 4: Simplify right side
    1,098.58x = 1,029,297.29
  5. Step 5: Solve for x
    x = 1,029,297.29/1,098.58
  6. Step 6: Final answer
    x = 936.93

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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.