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Finding the Fourth Proportional to 576.09, 862.91 and 358.60

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Solution

The fourth proportional to 576.09, 862.91 and 358.60 is: 537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.09 : 862.91 = 358.60 : x
  2. Step 2: Convert to fraction form
    576.09/862.91 = 358.60/x
  3. Step 3: Cross multiply
    576.09x = 862.91 × 358.60
  4. Step 4: Simplify right side
    576.09x = 309,439.53
  5. Step 5: Solve for x
    x = 309,439.53/576.09
  6. Step 6: Final answer
    x = 537.14

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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.