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Finding the Fourth Proportional to 986.26, 1,479.75 and 409.18

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Solution

The fourth proportional to 986.26, 1,479.75 and 409.18 is: 613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.26 : 1,479.75 = 409.18 : x
  2. Step 2: Convert to fraction form
    986.26/1,479.75 = 409.18/x
  3. Step 3: Cross multiply
    986.26x = 1,479.75 × 409.18
  4. Step 4: Simplify right side
    986.26x = 605,484.11
  5. Step 5: Solve for x
    x = 605,484.11/986.26
  6. Step 6: Final answer
    x = 613.92

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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.