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Finding the Fourth Proportional to 568.73, 849.64 and 361.64

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Solution

The fourth proportional to 568.73, 849.64 and 361.64 is: 540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.73 : 849.64 = 361.64 : x
  2. Step 2: Convert to fraction form
    568.73/849.64 = 361.64/x
  3. Step 3: Cross multiply
    568.73x = 849.64 × 361.64
  4. Step 4: Simplify right side
    568.73x = 307,263.81
  5. Step 5: Solve for x
    x = 307,263.81/568.73
  6. Step 6: Final answer
    x = 540.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.