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Finding the Fourth Proportional to 569.96, 853.14 and 415.88

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Solution

The fourth proportional to 569.96, 853.14 and 415.88 is: 622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 853.14 = 415.88 : x
  2. Step 2: Convert to fraction form
    569.96/853.14 = 415.88/x
  3. Step 3: Cross multiply
    569.96x = 853.14 × 415.88
  4. Step 4: Simplify right side
    569.96x = 354,803.86
  5. Step 5: Solve for x
    x = 354,803.86/569.96
  6. Step 6: Final answer
    x = 622.51

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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.