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Finding the Fourth Proportional to 467.27, 704.06 and 387.89

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Solution

The fourth proportional to 467.27, 704.06 and 387.89 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.27 : 704.06 = 387.89 : x
  2. Step 2: Convert to fraction form
    467.27/704.06 = 387.89/x
  3. Step 3: Cross multiply
    467.27x = 704.06 × 387.89
  4. Step 4: Simplify right side
    467.27x = 273,095.28
  5. Step 5: Solve for x
    x = 273,095.28/467.27
  6. Step 6: Final answer
    x = 584.45

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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.