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Finding the Fourth Proportional to 569.14, 854.43 and 484.18

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Solution

The fourth proportional to 569.14, 854.43 and 484.18 is: 726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 854.43 = 484.18 : x
  2. Step 2: Convert to fraction form
    569.14/854.43 = 484.18/x
  3. Step 3: Cross multiply
    569.14x = 854.43 × 484.18
  4. Step 4: Simplify right side
    569.14x = 413,697.92
  5. Step 5: Solve for x
    x = 413,697.92/569.14
  6. Step 6: Final answer
    x = 726.88

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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.