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Finding the Fourth Proportional to 568.81, 785.90 and 506.09

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Solution

The fourth proportional to 568.81, 785.90 and 506.09 is: 699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.81 : 785.90 = 506.09 : x
  2. Step 2: Convert to fraction form
    568.81/785.90 = 506.09/x
  3. Step 3: Cross multiply
    568.81x = 785.90 × 506.09
  4. Step 4: Simplify right side
    568.81x = 397,736.13
  5. Step 5: Solve for x
    x = 397,736.13/568.81
  6. Step 6: Final answer
    x = 699.24

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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.