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Finding the Fourth Proportional to 984.47, 1,476.56 and 399.78

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Solution

The fourth proportional to 984.47, 1,476.56 and 399.78 is: 599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.47 : 1,476.56 = 399.78 : x
  2. Step 2: Convert to fraction form
    984.47/1,476.56 = 399.78/x
  3. Step 3: Cross multiply
    984.47x = 1,476.56 × 399.78
  4. Step 4: Simplify right side
    984.47x = 590,300.16
  5. Step 5: Solve for x
    x = 590,300.16/984.47
  6. Step 6: Final answer
    x = 599.62

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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.