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Finding the Fourth Proportional to 568.02, 783.69 and 319.31

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Solution

The fourth proportional to 568.02, 783.69 and 319.31 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 783.69 = 319.31 : x
  2. Step 2: Convert to fraction form
    568.02/783.69 = 319.31/x
  3. Step 3: Cross multiply
    568.02x = 783.69 × 319.31
  4. Step 4: Simplify right side
    568.02x = 250,236.14
  5. Step 5: Solve for x
    x = 250,236.14/568.02
  6. Step 6: Final answer
    x = 440.54

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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.