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Finding the Fourth Proportional to 468.33, 705.29 and 408.19

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Solution

The fourth proportional to 468.33, 705.29 and 408.19 is: 614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.33 : 705.29 = 408.19 : x
  2. Step 2: Convert to fraction form
    468.33/705.29 = 408.19/x
  3. Step 3: Cross multiply
    468.33x = 705.29 × 408.19
  4. Step 4: Simplify right side
    468.33x = 287,892.14
  5. Step 5: Solve for x
    x = 287,892.14/468.33
  6. Step 6: Final answer
    x = 614.72

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Why These Related Problems?

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