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Finding the Fourth Proportional to 480.23, 720.44 and 285.38

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Solution

The fourth proportional to 480.23, 720.44 and 285.38 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 720.44 = 285.38 : x
  2. Step 2: Convert to fraction form
    480.23/720.44 = 285.38/x
  3. Step 3: Cross multiply
    480.23x = 720.44 × 285.38
  4. Step 4: Simplify right side
    480.23x = 205,599.17
  5. Step 5: Solve for x
    x = 205,599.17/480.23
  6. Step 6: Final answer
    x = 428.13

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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.