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Finding the Fourth Proportional to 576.90, 865.27 and 342.77

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Solution

The fourth proportional to 576.90, 865.27 and 342.77 is: 514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.90 : 865.27 = 342.77 : x
  2. Step 2: Convert to fraction form
    576.90/865.27 = 342.77/x
  3. Step 3: Cross multiply
    576.90x = 865.27 × 342.77
  4. Step 4: Simplify right side
    576.90x = 296,589.90
  5. Step 5: Solve for x
    x = 296,589.90/576.90
  6. Step 6: Final answer
    x = 514.11

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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.