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Finding the Fourth Proportional to 587.70, 872.87 and 576.90

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Solution

The fourth proportional to 587.70, 872.87 and 576.90 is: 856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 872.87 = 576.90 : x
  2. Step 2: Convert to fraction form
    587.70/872.87 = 576.90/x
  3. Step 3: Cross multiply
    587.70x = 872.87 × 576.90
  4. Step 4: Simplify right side
    587.70x = 503,555.82
  5. Step 5: Solve for x
    x = 503,555.82/587.70
  6. Step 6: Final answer
    x = 856.82

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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.