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Finding the Fourth Proportional to 838.48, 1,156.97 and 484.27

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Solution

The fourth proportional to 838.48, 1,156.97 and 484.27 is: 668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.48 : 1,156.97 = 484.27 : x
  2. Step 2: Convert to fraction form
    838.48/1,156.97 = 484.27/x
  3. Step 3: Cross multiply
    838.48x = 1,156.97 × 484.27
  4. Step 4: Simplify right side
    838.48x = 560,285.86
  5. Step 5: Solve for x
    x = 560,285.86/838.48
  6. Step 6: Final answer
    x = 668.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.