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Finding the Fourth Proportional to 553.75, 830.01 and 280.09

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Solution

The fourth proportional to 553.75, 830.01 and 280.09 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.75 : 830.01 = 280.09 : x
  2. Step 2: Convert to fraction form
    553.75/830.01 = 280.09/x
  3. Step 3: Cross multiply
    553.75x = 830.01 × 280.09
  4. Step 4: Simplify right side
    553.75x = 232,477.50
  5. Step 5: Solve for x
    x = 232,477.50/553.75
  6. Step 6: Final answer
    x = 419.82

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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.