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Finding the Fourth Proportional to 506.78, 699.18 and 320.21

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Solution

The fourth proportional to 506.78, 699.18 and 320.21 is: 441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.78 : 699.18 = 320.21 : x
  2. Step 2: Convert to fraction form
    506.78/699.18 = 320.21/x
  3. Step 3: Cross multiply
    506.78x = 699.18 × 320.21
  4. Step 4: Simplify right side
    506.78x = 223,882.35
  5. Step 5: Solve for x
    x = 223,882.35/506.78
  6. Step 6: Final answer
    x = 441.78

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