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Finding the Fourth Proportional to 576.70, 863.13 and 409.08

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Solution

The fourth proportional to 576.70, 863.13 and 409.08 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 863.13 = 409.08 : x
  2. Step 2: Convert to fraction form
    576.70/863.13 = 409.08/x
  3. Step 3: Cross multiply
    576.70x = 863.13 × 409.08
  4. Step 4: Simplify right side
    576.70x = 353,089.22
  5. Step 5: Solve for x
    x = 353,089.22/576.70
  6. Step 6: Final answer
    x = 612.26

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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.