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Finding the Fourth Proportional to 507.73, 757.91 and 446.22

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Solution

The fourth proportional to 507.73, 757.91 and 446.22 is: 666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.73 : 757.91 = 446.22 : x
  2. Step 2: Convert to fraction form
    507.73/757.91 = 446.22/x
  3. Step 3: Cross multiply
    507.73x = 757.91 × 446.22
  4. Step 4: Simplify right side
    507.73x = 338,195.72
  5. Step 5: Solve for x
    x = 338,195.72/507.73
  6. Step 6: Final answer
    x = 666.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.