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Finding the Fourth Proportional to 722.77, 1,084.27 and 254.12

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Solution

The fourth proportional to 722.77, 1,084.27 and 254.12 is: 381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.77 : 1,084.27 = 254.12 : x
  2. Step 2: Convert to fraction form
    722.77/1,084.27 = 254.12/x
  3. Step 3: Cross multiply
    722.77x = 1,084.27 × 254.12
  4. Step 4: Simplify right side
    722.77x = 275,534.69
  5. Step 5: Solve for x
    x = 275,534.69/722.77
  6. Step 6: Final answer
    x = 381.22

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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.