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Finding the Fourth Proportional to 984.88, 1,476.40 and 638.48

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Solution

The fourth proportional to 984.88, 1,476.40 and 638.48 is: 957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.88 : 1,476.40 = 638.48 : x
  2. Step 2: Convert to fraction form
    984.88/1,476.40 = 638.48/x
  3. Step 3: Cross multiply
    984.88x = 1,476.40 × 638.48
  4. Step 4: Simplify right side
    984.88x = 942,651.87
  5. Step 5: Solve for x
    x = 942,651.87/984.88
  6. Step 6: Final answer
    x = 957.12

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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.