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Finding the Fourth Proportional to 554.45, 831.67 and 322.85

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Solution

The fourth proportional to 554.45, 831.67 and 322.85 is: 484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.45 : 831.67 = 322.85 : x
  2. Step 2: Convert to fraction form
    554.45/831.67 = 322.85/x
  3. Step 3: Cross multiply
    554.45x = 831.67 × 322.85
  4. Step 4: Simplify right side
    554.45x = 268,505.93
  5. Step 5: Solve for x
    x = 268,505.93/554.45
  6. Step 6: Final answer
    x = 484.28

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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.