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Finding the Fourth Proportional to 864.27, 1,295.97 and 617.32

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Solution

The fourth proportional to 864.27, 1,295.97 and 617.32 is: 925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.27 : 1,295.97 = 617.32 : x
  2. Step 2: Convert to fraction form
    864.27/1,295.97 = 617.32/x
  3. Step 3: Cross multiply
    864.27x = 1,295.97 × 617.32
  4. Step 4: Simplify right side
    864.27x = 800,027.51
  5. Step 5: Solve for x
    x = 800,027.51/864.27
  6. Step 6: Final answer
    x = 925.67

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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.