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Finding the Fourth Proportional to 984.01, 1,476.35 and 618.37

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Solution

The fourth proportional to 984.01, 1,476.35 and 618.37 is: 927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.01 : 1,476.35 = 618.37 : x
  2. Step 2: Convert to fraction form
    984.01/1,476.35 = 618.37/x
  3. Step 3: Cross multiply
    984.01x = 1,476.35 × 618.37
  4. Step 4: Simplify right side
    984.01x = 912,930.55
  5. Step 5: Solve for x
    x = 912,930.55/984.01
  6. Step 6: Final answer
    x = 927.77

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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.