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Finding the Fourth Proportional to 506.30, 699.03 and 382.23

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Solution

The fourth proportional to 506.30, 699.03 and 382.23 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.30 : 699.03 = 382.23 : x
  2. Step 2: Convert to fraction form
    506.30/699.03 = 382.23/x
  3. Step 3: Cross multiply
    506.30x = 699.03 × 382.23
  4. Step 4: Simplify right side
    506.30x = 267,190.24
  5. Step 5: Solve for x
    x = 267,190.24/506.30
  6. Step 6: Final answer
    x = 527.74

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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.