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Finding the Fourth Proportional to 986.28, 1,478.61 and 409.02

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Solution

The fourth proportional to 986.28, 1,478.61 and 409.02 is: 613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,478.61 = 409.02 : x
  2. Step 2: Convert to fraction form
    986.28/1,478.61 = 409.02/x
  3. Step 3: Cross multiply
    986.28x = 1,478.61 × 409.02
  4. Step 4: Simplify right side
    986.28x = 604,781.06
  5. Step 5: Solve for x
    x = 604,781.06/986.28
  6. Step 6: Final answer
    x = 613.19

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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.