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Finding the Fourth Proportional to 696.48, 960.86 and 475.05

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Solution

The fourth proportional to 696.48, 960.86 and 475.05 is: 655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 960.86 = 475.05 : x
  2. Step 2: Convert to fraction form
    696.48/960.86 = 475.05/x
  3. Step 3: Cross multiply
    696.48x = 960.86 × 475.05
  4. Step 4: Simplify right side
    696.48x = 456,455.93
  5. Step 5: Solve for x
    x = 456,455.93/696.48
  6. Step 6: Final answer
    x = 655.37

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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.