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Finding the Fourth Proportional to 695.78, 960.57 and 463.22

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Solution

The fourth proportional to 695.78, 960.57 and 463.22 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 960.57 = 463.22 : x
  2. Step 2: Convert to fraction form
    695.78/960.57 = 463.22/x
  3. Step 3: Cross multiply
    695.78x = 960.57 × 463.22
  4. Step 4: Simplify right side
    695.78x = 444,955.24
  5. Step 5: Solve for x
    x = 444,955.24/695.78
  6. Step 6: Final answer
    x = 639.51

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Double scale
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1.5x scale

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.