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Finding the Fourth Proportional to 554.42, 831.64 and 280.64

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Solution

The fourth proportional to 554.42, 831.64 and 280.64 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.42 : 831.64 = 280.64 : x
  2. Step 2: Convert to fraction form
    554.42/831.64 = 280.64/x
  3. Step 3: Cross multiply
    554.42x = 831.64 × 280.64
  4. Step 4: Simplify right side
    554.42x = 233,391.45
  5. Step 5: Solve for x
    x = 233,391.45/554.42
  6. Step 6: Final answer
    x = 420.97

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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.