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Finding the Fourth Proportional to 696.15, 959.91 and 475.23

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Solution

The fourth proportional to 696.15, 959.91 and 475.23 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 959.91 = 475.23 : x
  2. Step 2: Convert to fraction form
    696.15/959.91 = 475.23/x
  3. Step 3: Cross multiply
    696.15x = 959.91 × 475.23
  4. Step 4: Simplify right side
    696.15x = 456,178.03
  5. Step 5: Solve for x
    x = 456,178.03/696.15
  6. Step 6: Final answer
    x = 655.29

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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.