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Finding the Fourth Proportional to 518.81, 715.61 and 408.24

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Solution

The fourth proportional to 518.81, 715.61 and 408.24 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.81 : 715.61 = 408.24 : x
  2. Step 2: Convert to fraction form
    518.81/715.61 = 408.24/x
  3. Step 3: Cross multiply
    518.81x = 715.61 × 408.24
  4. Step 4: Simplify right side
    518.81x = 292,138.59
  5. Step 5: Solve for x
    x = 292,138.59/518.81
  6. Step 6: Final answer
    x = 563.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.