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Finding the Fourth Proportional to 568.45, 851.88 and 293.86

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Solution

The fourth proportional to 568.45, 851.88 and 293.86 is: 440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 851.88 = 293.86 : x
  2. Step 2: Convert to fraction form
    568.45/851.88 = 293.86/x
  3. Step 3: Cross multiply
    568.45x = 851.88 × 293.86
  4. Step 4: Simplify right side
    568.45x = 250,333.46
  5. Step 5: Solve for x
    x = 250,333.46/568.45
  6. Step 6: Final answer
    x = 440.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.