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Finding the Fourth Proportional to 576.10, 860.90 and 414.10

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Solution

The fourth proportional to 576.10, 860.90 and 414.10 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 860.90 = 414.10 : x
  2. Step 2: Convert to fraction form
    576.10/860.90 = 414.10/x
  3. Step 3: Cross multiply
    576.10x = 860.90 × 414.10
  4. Step 4: Simplify right side
    576.10x = 356,498.69
  5. Step 5: Solve for x
    x = 356,498.69/576.10
  6. Step 6: Final answer
    x = 618.81

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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.