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Finding the Fourth Proportional to 506.65, 699.22 and 285.59

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Solution

The fourth proportional to 506.65, 699.22 and 285.59 is: 394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 699.22 = 285.59 : x
  2. Step 2: Convert to fraction form
    506.65/699.22 = 285.59/x
  3. Step 3: Cross multiply
    506.65x = 699.22 × 285.59
  4. Step 4: Simplify right side
    506.65x = 199,690.24
  5. Step 5: Solve for x
    x = 199,690.24/506.65
  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.