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Finding the Fourth Proportional to 666.41, 1,003.49 and 494.30

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Solution

The fourth proportional to 666.41, 1,003.49 and 494.30 is: 744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.41 : 1,003.49 = 494.30 : x
  2. Step 2: Convert to fraction form
    666.41/1,003.49 = 494.30/x
  3. Step 3: Cross multiply
    666.41x = 1,003.49 × 494.30
  4. Step 4: Simplify right side
    666.41x = 496,025.11
  5. Step 5: Solve for x
    x = 496,025.11/666.41
  6. Step 6: Final answer
    x = 744.32

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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.