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Finding the Fourth Proportional to 568.48, 784.51 and 344.38

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Solution

The fourth proportional to 568.48, 784.51 and 344.38 is: 475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.48 : 784.51 = 344.38 : x
  2. Step 2: Convert to fraction form
    568.48/784.51 = 344.38/x
  3. Step 3: Cross multiply
    568.48x = 784.51 × 344.38
  4. Step 4: Simplify right side
    568.48x = 270,169.55
  5. Step 5: Solve for x
    x = 270,169.55/568.48
  6. Step 6: Final answer
    x = 475.25

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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.