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Finding the Fourth Proportional to 468.27, 705.57 and 388.89

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Solution

The fourth proportional to 468.27, 705.57 and 388.89 is: 585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.27 : 705.57 = 388.89 : x
  2. Step 2: Convert to fraction form
    468.27/705.57 = 388.89/x
  3. Step 3: Cross multiply
    468.27x = 705.57 × 388.89
  4. Step 4: Simplify right side
    468.27x = 274,389.12
  5. Step 5: Solve for x
    x = 274,389.12/468.27
  6. Step 6: Final answer
    x = 585.96

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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.