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Finding the Fourth Proportional to 464.72, 642.06 and 395.51

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Solution

The fourth proportional to 464.72, 642.06 and 395.51 is: 546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 642.06 = 395.51 : x
  2. Step 2: Convert to fraction form
    464.72/642.06 = 395.51/x
  3. Step 3: Cross multiply
    464.72x = 642.06 × 395.51
  4. Step 4: Simplify right side
    464.72x = 253,937.94
  5. Step 5: Solve for x
    x = 253,937.94/464.72
  6. Step 6: Final answer
    x = 546.44

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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.