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Finding the Fourth Proportional to 984.34, 1,476.45 and 407.22

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Solution

The fourth proportional to 984.34, 1,476.45 and 407.22 is: 610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.34 : 1,476.45 = 407.22 : x
  2. Step 2: Convert to fraction form
    984.34/1,476.45 = 407.22/x
  3. Step 3: Cross multiply
    984.34x = 1,476.45 × 407.22
  4. Step 4: Simplify right side
    984.34x = 601,239.97
  5. Step 5: Solve for x
    x = 601,239.97/984.34
  6. Step 6: Final answer
    x = 610.81

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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.