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Finding the Fourth Proportional to 576.82, 861.04 and 533.99

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Solution

The fourth proportional to 576.82, 861.04 and 533.99 is: 797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 861.04 = 533.99 : x
  2. Step 2: Convert to fraction form
    576.82/861.04 = 533.99/x
  3. Step 3: Cross multiply
    576.82x = 861.04 × 533.99
  4. Step 4: Simplify right side
    576.82x = 459,786.75
  5. Step 5: Solve for x
    x = 459,786.75/576.82
  6. Step 6: Final answer
    x = 797.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.