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Finding the Fourth Proportional to 892.34, 1,336.34 and 617.66

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Solution

The fourth proportional to 892.34, 1,336.34 and 617.66 is: 924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.34 : 1,336.34 = 617.66 : x
  2. Step 2: Convert to fraction form
    892.34/1,336.34 = 617.66/x
  3. Step 3: Cross multiply
    892.34x = 1,336.34 × 617.66
  4. Step 4: Simplify right side
    892.34x = 825,403.76
  5. Step 5: Solve for x
    x = 825,403.76/892.34
  6. Step 6: Final answer
    x = 924.99

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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.