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Finding the Fourth Proportional to 622.49, 933.74 and 280.09

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Solution

The fourth proportional to 622.49, 933.74 and 280.09 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.49 : 933.74 = 280.09 : x
  2. Step 2: Convert to fraction form
    622.49/933.74 = 280.09/x
  3. Step 3: Cross multiply
    622.49x = 933.74 × 280.09
  4. Step 4: Simplify right side
    622.49x = 261,529.84
  5. Step 5: Solve for x
    x = 261,529.84/622.49
  6. Step 6: Final answer
    x = 420.14

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Double scale
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Similar ratio
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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.