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Finding the Fourth Proportional to 836.49, 1,153.22 and 556.74

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Solution

The fourth proportional to 836.49, 1,153.22 and 556.74 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.49 : 1,153.22 = 556.74 : x
  2. Step 2: Convert to fraction form
    836.49/1,153.22 = 556.74/x
  3. Step 3: Cross multiply
    836.49x = 1,153.22 × 556.74
  4. Step 4: Simplify right side
    836.49x = 642,043.70
  5. Step 5: Solve for x
    x = 642,043.70/836.49
  6. Step 6: Final answer
    x = 767.54

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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.