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Finding the Fourth Proportional to 668.79, 1,003.05 and 321.84

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Solution

The fourth proportional to 668.79, 1,003.05 and 321.84 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 1,003.05 = 321.84 : x
  2. Step 2: Convert to fraction form
    668.79/1,003.05 = 321.84/x
  3. Step 3: Cross multiply
    668.79x = 1,003.05 × 321.84
  4. Step 4: Simplify right side
    668.79x = 322,821.61
  5. Step 5: Solve for x
    x = 322,821.61/668.79
  6. Step 6: Final answer
    x = 482.70

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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.