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Finding the Fourth Proportional to 984.05, 1,476.06 and 253.62

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Solution

The fourth proportional to 984.05, 1,476.06 and 253.62 is: 380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,476.06 = 253.62 : x
  2. Step 2: Convert to fraction form
    984.05/1,476.06 = 253.62/x
  3. Step 3: Cross multiply
    984.05x = 1,476.06 × 253.62
  4. Step 4: Simplify right side
    984.05x = 374,358.34
  5. Step 5: Solve for x
    x = 374,358.34/984.05
  6. Step 6: Final answer
    x = 380.43

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Double scale
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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.