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Finding the Fourth Proportional to 696.90, 960.17 and 475.47

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Solution

The fourth proportional to 696.90, 960.17 and 475.47 is: 655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 960.17 = 475.47 : x
  2. Step 2: Convert to fraction form
    696.90/960.17 = 475.47/x
  3. Step 3: Cross multiply
    696.90x = 960.17 × 475.47
  4. Step 4: Simplify right side
    696.90x = 456,527.23
  5. Step 5: Solve for x
    x = 456,527.23/696.90
  6. Step 6: Final answer
    x = 655.08

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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.