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Finding the Fourth Proportional to 568.08, 783.89 and 319.39

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Solution

The fourth proportional to 568.08, 783.89 and 319.39 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 783.89 = 319.39 : x
  2. Step 2: Convert to fraction form
    568.08/783.89 = 319.39/x
  3. Step 3: Cross multiply
    568.08x = 783.89 × 319.39
  4. Step 4: Simplify right side
    568.08x = 250,365.74
  5. Step 5: Solve for x
    x = 250,365.74/568.08
  6. Step 6: Final answer
    x = 440.72

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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.