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Finding the Fourth Proportional to 820.91, 1,224.13 and 813.50

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Solution

The fourth proportional to 820.91, 1,224.13 and 813.50 is: 1,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.91 : 1,224.13 = 813.50 : x
  2. Step 2: Convert to fraction form
    820.91/1,224.13 = 813.50/x
  3. Step 3: Cross multiply
    820.91x = 1,224.13 × 813.50
  4. Step 4: Simplify right side
    820.91x = 995,836.89
  5. Step 5: Solve for x
    x = 995,836.89/820.91
  6. Step 6: Final answer
    x = 1,213.09

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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.