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Finding the Fourth Proportional to 986.48, 1,479.96 and 409.28

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Solution

The fourth proportional to 986.48, 1,479.96 and 409.28 is: 614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.48 : 1,479.96 = 409.28 : x
  2. Step 2: Convert to fraction form
    986.48/1,479.96 = 409.28/x
  3. Step 3: Cross multiply
    986.48x = 1,479.96 × 409.28
  4. Step 4: Simplify right side
    986.48x = 605,718.03
  5. Step 5: Solve for x
    x = 605,718.03/986.48
  6. Step 6: Final answer
    x = 614.02

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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.