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Finding the Fourth Proportional to 464.67, 638.55 and 386.91

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Solution

The fourth proportional to 464.67, 638.55 and 386.91 is: 531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 638.55 = 386.91 : x
  2. Step 2: Convert to fraction form
    464.67/638.55 = 386.91/x
  3. Step 3: Cross multiply
    464.67x = 638.55 × 386.91
  4. Step 4: Simplify right side
    464.67x = 247,061.38
  5. Step 5: Solve for x
    x = 247,061.38/464.67
  6. Step 6: Final answer
    x = 531.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.