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Finding the Fourth Proportional to 568.25, 784.14 and 319.58

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Solution

The fourth proportional to 568.25, 784.14 and 319.58 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.25 : 784.14 = 319.58 : x
  2. Step 2: Convert to fraction form
    568.25/784.14 = 319.58/x
  3. Step 3: Cross multiply
    568.25x = 784.14 × 319.58
  4. Step 4: Simplify right side
    568.25x = 250,591.54
  5. Step 5: Solve for x
    x = 250,591.54/568.25
  6. Step 6: Final answer
    x = 440.99

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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.