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Finding the Fourth Proportional to 506.71, 699.21 and 285.63

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Solution

The fourth proportional to 506.71, 699.21 and 285.63 is: 394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 699.21 = 285.63 : x
  2. Step 2: Convert to fraction form
    506.71/699.21 = 285.63/x
  3. Step 3: Cross multiply
    506.71x = 699.21 × 285.63
  4. Step 4: Simplify right side
    506.71x = 199,716.42
  5. Step 5: Solve for x
    x = 199,716.42/506.71
  6. Step 6: Final answer
    x = 394.14

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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.