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Finding the Fourth Proportional to 696.18, 959.85 and 499.62

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Solution

The fourth proportional to 696.18, 959.85 and 499.62 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.18 : 959.85 = 499.62 : x
  2. Step 2: Convert to fraction form
    696.18/959.85 = 499.62/x
  3. Step 3: Cross multiply
    696.18x = 959.85 × 499.62
  4. Step 4: Simplify right side
    696.18x = 479,560.26
  5. Step 5: Solve for x
    x = 479,560.26/696.18
  6. Step 6: Final answer
    x = 688.85

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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.