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Finding the Fourth Proportional to 464.09, 640.01 and 385.52

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Solution

The fourth proportional to 464.09, 640.01 and 385.52 is: 531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 640.01 = 385.52 : x
  2. Step 2: Convert to fraction form
    464.09/640.01 = 385.52/x
  3. Step 3: Cross multiply
    464.09x = 640.01 × 385.52
  4. Step 4: Simplify right side
    464.09x = 246,731.53
  5. Step 5: Solve for x
    x = 246,731.53/464.09
  6. Step 6: Final answer
    x = 531.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.