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Finding the Fourth Proportional to 468.18, 705.06 and 408.06

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Solution

The fourth proportional to 468.18, 705.06 and 408.06 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 705.06 = 408.06 : x
  2. Step 2: Convert to fraction form
    468.18/705.06 = 408.06/x
  3. Step 3: Cross multiply
    468.18x = 705.06 × 408.06
  4. Step 4: Simplify right side
    468.18x = 287,706.78
  5. Step 5: Solve for x
    x = 287,706.78/468.18
  6. Step 6: Final answer
    x = 614.52

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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.