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Finding the Fourth Proportional to 636.57, 873.81 and 587.34

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Solution

The fourth proportional to 636.57, 873.81 and 587.34 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.57 : 873.81 = 587.34 : x
  2. Step 2: Convert to fraction form
    636.57/873.81 = 587.34/x
  3. Step 3: Cross multiply
    636.57x = 873.81 × 587.34
  4. Step 4: Simplify right side
    636.57x = 513,223.57
  5. Step 5: Solve for x
    x = 513,223.57/636.57
  6. Step 6: Final answer
    x = 806.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.