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Finding the Fourth Proportional to 695.98, 960.32 and 474.85

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Solution

The fourth proportional to 695.98, 960.32 and 474.85 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 960.32 = 474.85 : x
  2. Step 2: Convert to fraction form
    695.98/960.32 = 474.85/x
  3. Step 3: Cross multiply
    695.98x = 960.32 × 474.85
  4. Step 4: Simplify right side
    695.98x = 456,007.95
  5. Step 5: Solve for x
    x = 456,007.95/695.98
  6. Step 6: Final answer
    x = 655.20

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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.