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Finding the Fourth Proportional to 568.10, 783.92 and 319.38

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Solution

The fourth proportional to 568.10, 783.92 and 319.38 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.10 : 783.92 = 319.38 : x
  2. Step 2: Convert to fraction form
    568.10/783.92 = 319.38/x
  3. Step 3: Cross multiply
    568.10x = 783.92 × 319.38
  4. Step 4: Simplify right side
    568.10x = 250,368.37
  5. Step 5: Solve for x
    x = 250,368.37/568.10
  6. Step 6: Final answer
    x = 440.71

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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.