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Finding the Fourth Proportional to 568.14, 783.93 and 319.42

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Solution

The fourth proportional to 568.14, 783.93 and 319.42 is: 440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.14 : 783.93 = 319.42 : x
  2. Step 2: Convert to fraction form
    568.14/783.93 = 319.42/x
  3. Step 3: Cross multiply
    568.14x = 783.93 × 319.42
  4. Step 4: Simplify right side
    568.14x = 250,402.92
  5. Step 5: Solve for x
    x = 250,402.92/568.14
  6. Step 6: Final answer
    x = 440.74

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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.