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Finding the Fourth Proportional to 480.38, 723.04 and 409.91

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Solution

The fourth proportional to 480.38, 723.04 and 409.91 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.38 : 723.04 = 409.91 : x
  2. Step 2: Convert to fraction form
    480.38/723.04 = 409.91/x
  3. Step 3: Cross multiply
    480.38x = 723.04 × 409.91
  4. Step 4: Simplify right side
    480.38x = 296,376.69
  5. Step 5: Solve for x
    x = 296,376.69/480.38
  6. Step 6: Final answer
    x = 616.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.