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Finding the Fourth Proportional to 836.52, 1,249.59 and 820.32

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Solution

The fourth proportional to 836.52, 1,249.59 and 820.32 is: 1,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.52 : 1,249.59 = 820.32 : x
  2. Step 2: Convert to fraction form
    836.52/1,249.59 = 820.32/x
  3. Step 3: Cross multiply
    836.52x = 1,249.59 × 820.32
  4. Step 4: Simplify right side
    836.52x = 1,025,063.67
  5. Step 5: Solve for x
    x = 1,025,063.67/836.52
  6. Step 6: Final answer
    x = 1,225.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.