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Finding the Fourth Proportional to 696.13, 960.72 and 385.69

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Solution

The fourth proportional to 696.13, 960.72 and 385.69 is: 532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 960.72 = 385.69 : x
  2. Step 2: Convert to fraction form
    696.13/960.72 = 385.69/x
  3. Step 3: Cross multiply
    696.13x = 960.72 × 385.69
  4. Step 4: Simplify right side
    696.13x = 370,533.36
  5. Step 5: Solve for x
    x = 370,533.36/696.13
  6. Step 6: Final answer
    x = 532.28

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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.