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Finding the Fourth Proportional to 507.97, 701.13 and 321.64

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Solution

The fourth proportional to 507.97, 701.13 and 321.64 is: 443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 701.13 = 321.64 : x
  2. Step 2: Convert to fraction form
    507.97/701.13 = 321.64/x
  3. Step 3: Cross multiply
    507.97x = 701.13 × 321.64
  4. Step 4: Simplify right side
    507.97x = 225,511.45
  5. Step 5: Solve for x
    x = 225,511.45/507.97
  6. Step 6: Final answer
    x = 443.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.