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Finding the Fourth Proportional to 668.83, 1,003.05 and 206.53

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Solution

The fourth proportional to 668.83, 1,003.05 and 206.53 is: 309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.83 : 1,003.05 = 206.53 : x
  2. Step 2: Convert to fraction form
    668.83/1,003.05 = 206.53/x
  3. Step 3: Cross multiply
    668.83x = 1,003.05 × 206.53
  4. Step 4: Simplify right side
    668.83x = 207,159.92
  5. Step 5: Solve for x
    x = 207,159.92/668.83
  6. Step 6: Final answer
    x = 309.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.