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Finding the Fourth Proportional to 567.08, 851.34 and 414.80

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Solution

The fourth proportional to 567.08, 851.34 and 414.80 is: 622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.08 : 851.34 = 414.80 : x
  2. Step 2: Convert to fraction form
    567.08/851.34 = 414.80/x
  3. Step 3: Cross multiply
    567.08x = 851.34 × 414.80
  4. Step 4: Simplify right side
    567.08x = 353,135.83
  5. Step 5: Solve for x
    x = 353,135.83/567.08
  6. Step 6: Final answer
    x = 622.73

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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.