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Finding the Fourth Proportional to 568.05, 783.91 and 319.34

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Solution

The fourth proportional to 568.05, 783.91 and 319.34 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.05 : 783.91 = 319.34 : x
  2. Step 2: Convert to fraction form
    568.05/783.91 = 319.34/x
  3. Step 3: Cross multiply
    568.05x = 783.91 × 319.34
  4. Step 4: Simplify right side
    568.05x = 250,336.18
  5. Step 5: Solve for x
    x = 250,336.18/568.05
  6. Step 6: Final answer
    x = 440.70

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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.