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Finding the Fourth Proportional to 576.66, 863.60 and 403.50

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Solution

The fourth proportional to 576.66, 863.60 and 403.50 is: 604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.66 : 863.60 = 403.50 : x
  2. Step 2: Convert to fraction form
    576.66/863.60 = 403.50/x
  3. Step 3: Cross multiply
    576.66x = 863.60 × 403.50
  4. Step 4: Simplify right side
    576.66x = 348,460.58
  5. Step 5: Solve for x
    x = 348,460.58/576.66
  6. Step 6: Final answer
    x = 604.27

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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.