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Finding the Fourth Proportional to 668.23, 1,006.22 and 496.10

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Solution

The fourth proportional to 668.23, 1,006.22 and 496.10 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.23 : 1,006.22 = 496.10 : x
  2. Step 2: Convert to fraction form
    668.23/1,006.22 = 496.10/x
  3. Step 3: Cross multiply
    668.23x = 1,006.22 × 496.10
  4. Step 4: Simplify right side
    668.23x = 499,189.50
  5. Step 5: Solve for x
    x = 499,189.50/668.23
  6. Step 6: Final answer
    x = 747.04

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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.