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Finding the Fourth Proportional to 464.43, 695.70 and 395.85

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Solution

The fourth proportional to 464.43, 695.70 and 395.85 is: 592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 695.70 = 395.85 : x
  2. Step 2: Convert to fraction form
    464.43/695.70 = 395.85/x
  3. Step 3: Cross multiply
    464.43x = 695.70 × 395.85
  4. Step 4: Simplify right side
    464.43x = 275,392.85
  5. Step 5: Solve for x
    x = 275,392.85/464.43
  6. Step 6: Final answer
    x = 592.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.