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Finding the Fourth Proportional to 695.92, 960.04 and 475.08

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Solution

The fourth proportional to 695.92, 960.04 and 475.08 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.92 : 960.04 = 475.08 : x
  2. Step 2: Convert to fraction form
    695.92/960.04 = 475.08/x
  3. Step 3: Cross multiply
    695.92x = 960.04 × 475.08
  4. Step 4: Simplify right side
    695.92x = 456,095.80
  5. Step 5: Solve for x
    x = 456,095.80/695.92
  6. Step 6: Final answer
    x = 655.39

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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.