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Finding the Fourth Proportional to 554.44, 831.72 and 280.54

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Solution

The fourth proportional to 554.44, 831.72 and 280.54 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.44 : 831.72 = 280.54 : x
  2. Step 2: Convert to fraction form
    554.44/831.72 = 280.54/x
  3. Step 3: Cross multiply
    554.44x = 831.72 × 280.54
  4. Step 4: Simplify right side
    554.44x = 233,330.73
  5. Step 5: Solve for x
    x = 233,330.73/554.44
  6. Step 6: Final answer
    x = 420.84

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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.