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Finding the Fourth Proportional to 695.62, 961.76 and 665.02

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Solution

The fourth proportional to 695.62, 961.76 and 665.02 is: 919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.62 : 961.76 = 665.02 : x
  2. Step 2: Convert to fraction form
    695.62/961.76 = 665.02/x
  3. Step 3: Cross multiply
    695.62x = 961.76 × 665.02
  4. Step 4: Simplify right side
    695.62x = 639,589.64
  5. Step 5: Solve for x
    x = 639,589.64/695.62
  6. Step 6: Final answer
    x = 919.45

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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.