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Finding the Fourth Proportional to 668.53, 1,006.69 and 496.41

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Solution

The fourth proportional to 668.53, 1,006.69 and 496.41 is: 747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.53 : 1,006.69 = 496.41 : x
  2. Step 2: Convert to fraction form
    668.53/1,006.69 = 496.41/x
  3. Step 3: Cross multiply
    668.53x = 1,006.69 × 496.41
  4. Step 4: Simplify right side
    668.53x = 499,730.98
  5. Step 5: Solve for x
    x = 499,730.98/668.53
  6. Step 6: Final answer
    x = 747.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.