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Finding the Fourth Proportional to 568.53, 784.82 and 438.12

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Solution

The fourth proportional to 568.53, 784.82 and 438.12 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.53 : 784.82 = 438.12 : x
  2. Step 2: Convert to fraction form
    568.53/784.82 = 438.12/x
  3. Step 3: Cross multiply
    568.53x = 784.82 × 438.12
  4. Step 4: Simplify right side
    568.53x = 343,846.43
  5. Step 5: Solve for x
    x = 343,846.43/568.53
  6. Step 6: Final answer
    x = 604.80

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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.