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Finding the Fourth Proportional to 568.46, 851.54 and 414.71

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Solution

The fourth proportional to 568.46, 851.54 and 414.71 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.46 : 851.54 = 414.71 : x
  2. Step 2: Convert to fraction form
    568.46/851.54 = 414.71/x
  3. Step 3: Cross multiply
    568.46x = 851.54 × 414.71
  4. Step 4: Simplify right side
    568.46x = 353,135.82
  5. Step 5: Solve for x
    x = 353,135.82/568.46
  6. Step 6: Final answer
    x = 621.22

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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.