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Finding the Fourth Proportional to 576.94, 866.61 and 561.57

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Solution

The fourth proportional to 576.94, 866.61 and 561.57 is: 843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.94 : 866.61 = 561.57 : x
  2. Step 2: Convert to fraction form
    576.94/866.61 = 561.57/x
  3. Step 3: Cross multiply
    576.94x = 866.61 × 561.57
  4. Step 4: Simplify right side
    576.94x = 486,658.93
  5. Step 5: Solve for x
    x = 486,658.93/576.94
  6. Step 6: Final answer
    x = 843.52

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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.