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Finding the Fourth Proportional to 696.62, 960.01 and 499.79

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Solution

The fourth proportional to 696.62, 960.01 and 499.79 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 960.01 = 499.79 : x
  2. Step 2: Convert to fraction form
    696.62/960.01 = 499.79/x
  3. Step 3: Cross multiply
    696.62x = 960.01 × 499.79
  4. Step 4: Simplify right side
    696.62x = 479,804.55
  5. Step 5: Solve for x
    x = 479,804.55/696.62
  6. Step 6: Final answer
    x = 688.76

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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.