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Finding the Fourth Proportional to 695.50, 959.85 and 385.06

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Solution

The fourth proportional to 695.50, 959.85 and 385.06 is: 531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.50 : 959.85 = 385.06 : x
  2. Step 2: Convert to fraction form
    695.50/959.85 = 385.06/x
  3. Step 3: Cross multiply
    695.50x = 959.85 × 385.06
  4. Step 4: Simplify right side
    695.50x = 369,599.84
  5. Step 5: Solve for x
    x = 369,599.84/695.50
  6. Step 6: Final answer
    x = 531.42

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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.