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Finding the Fourth Proportional to 696.24, 958.71 and 499.41

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Solution

The fourth proportional to 696.24, 958.71 and 499.41 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 958.71 = 499.41 : x
  2. Step 2: Convert to fraction form
    696.24/958.71 = 499.41/x
  3. Step 3: Cross multiply
    696.24x = 958.71 × 499.41
  4. Step 4: Simplify right side
    696.24x = 478,789.36
  5. Step 5: Solve for x
    x = 478,789.36/696.24
  6. Step 6: Final answer
    x = 687.68

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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.