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Finding the Fourth Proportional to 664.72, 1,002.06 and 620.12

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Solution

The fourth proportional to 664.72, 1,002.06 and 620.12 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.72 : 1,002.06 = 620.12 : x
  2. Step 2: Convert to fraction form
    664.72/1,002.06 = 620.12/x
  3. Step 3: Cross multiply
    664.72x = 1,002.06 × 620.12
  4. Step 4: Simplify right side
    664.72x = 621,397.45
  5. Step 5: Solve for x
    x = 621,397.45/664.72
  6. Step 6: Final answer
    x = 934.83

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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.