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Finding the Fourth Proportional to 569.77, 854.87 and 461.09

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Solution

The fourth proportional to 569.77, 854.87 and 461.09 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 854.87 = 461.09 : x
  2. Step 2: Convert to fraction form
    569.77/854.87 = 461.09/x
  3. Step 3: Cross multiply
    569.77x = 854.87 × 461.09
  4. Step 4: Simplify right side
    569.77x = 394,172.01
  5. Step 5: Solve for x
    x = 394,172.01/569.77
  6. Step 6: Final answer
    x = 691.81

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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.