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Finding the Fourth Proportional to 568.45, 851.53 and 414.70

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Solution

The fourth proportional to 568.45, 851.53 and 414.70 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 851.53 = 414.70 : x
  2. Step 2: Convert to fraction form
    568.45/851.53 = 414.70/x
  3. Step 3: Cross multiply
    568.45x = 851.53 × 414.70
  4. Step 4: Simplify right side
    568.45x = 353,129.49
  5. Step 5: Solve for x
    x = 353,129.49/568.45
  6. Step 6: Final answer
    x = 621.21

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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.