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Finding the Fourth Proportional to 568.31, 784.10 and 319.60

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Solution

The fourth proportional to 568.31, 784.10 and 319.60 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.31 : 784.10 = 319.60 : x
  2. Step 2: Convert to fraction form
    568.31/784.10 = 319.60/x
  3. Step 3: Cross multiply
    568.31x = 784.10 × 319.60
  4. Step 4: Simplify right side
    568.31x = 250,592.84
  5. Step 5: Solve for x
    x = 250,592.84/568.31
  6. Step 6: Final answer
    x = 440.94

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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.