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Finding the Fourth Proportional to 507.09, 699.91 and 330.08

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Solution

The fourth proportional to 507.09, 699.91 and 330.08 is: 455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 699.91 = 330.08 : x
  2. Step 2: Convert to fraction form
    507.09/699.91 = 330.08/x
  3. Step 3: Cross multiply
    507.09x = 699.91 × 330.08
  4. Step 4: Simplify right side
    507.09x = 231,021.97
  5. Step 5: Solve for x
    x = 231,021.97/507.09
  6. Step 6: Final answer
    x = 455.58

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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.