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Finding the Fourth Proportional to 984.40, 1,476.28 and 326.16

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Solution

The fourth proportional to 984.40, 1,476.28 and 326.16 is: 489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,476.28 = 326.16 : x
  2. Step 2: Convert to fraction form
    984.40/1,476.28 = 326.16/x
  3. Step 3: Cross multiply
    984.40x = 1,476.28 × 326.16
  4. Step 4: Simplify right side
    984.40x = 481,503.48
  5. Step 5: Solve for x
    x = 481,503.48/984.40
  6. Step 6: Final answer
    x = 489.13

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1.5x scale

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.