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Finding the Fourth Proportional to 863.85, 1,296.58 and 575.49

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Solution

The fourth proportional to 863.85, 1,296.58 and 575.49 is: 863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.85 : 1,296.58 = 575.49 : x
  2. Step 2: Convert to fraction form
    863.85/1,296.58 = 575.49/x
  3. Step 3: Cross multiply
    863.85x = 1,296.58 × 575.49
  4. Step 4: Simplify right side
    863.85x = 746,168.82
  5. Step 5: Solve for x
    x = 746,168.82/863.85
  6. Step 6: Final answer
    x = 863.77

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1.5x scale

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.