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Finding the Fourth Proportional to 984.70, 1,477.05 and 254.27

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Solution

The fourth proportional to 984.70, 1,477.05 and 254.27 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.70 : 1,477.05 = 254.27 : x
  2. Step 2: Convert to fraction form
    984.70/1,477.05 = 254.27/x
  3. Step 3: Cross multiply
    984.70x = 1,477.05 × 254.27
  4. Step 4: Simplify right side
    984.70x = 375,568.23
  5. Step 5: Solve for x
    x = 375,568.23/984.70
  6. Step 6: Final answer
    x = 381.40

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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.