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Finding the Fourth Proportional to 568.23, 850.68 and 431.81

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Solution

The fourth proportional to 568.23, 850.68 and 431.81 is: 646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.23 : 850.68 = 431.81 : x
  2. Step 2: Convert to fraction form
    568.23/850.68 = 431.81/x
  3. Step 3: Cross multiply
    568.23x = 850.68 × 431.81
  4. Step 4: Simplify right side
    568.23x = 367,332.69
  5. Step 5: Solve for x
    x = 367,332.69/568.23
  6. Step 6: Final answer
    x = 646.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.