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Finding the Fourth Proportional to 569.54, 853.74 and 454.19

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Solution

The fourth proportional to 569.54, 853.74 and 454.19 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.54 : 853.74 = 454.19 : x
  2. Step 2: Convert to fraction form
    569.54/853.74 = 454.19/x
  3. Step 3: Cross multiply
    569.54x = 853.74 × 454.19
  4. Step 4: Simplify right side
    569.54x = 387,755.90
  5. Step 5: Solve for x
    x = 387,755.90/569.54
  6. Step 6: Final answer
    x = 680.82

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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.