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Finding the Fourth Proportional to 821.15, 1,231.74 and 545.27

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Solution

The fourth proportional to 821.15, 1,231.74 and 545.27 is: 817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.15 : 1,231.74 = 545.27 : x
  2. Step 2: Convert to fraction form
    821.15/1,231.74 = 545.27/x
  3. Step 3: Cross multiply
    821.15x = 1,231.74 × 545.27
  4. Step 4: Simplify right side
    821.15x = 671,628.14
  5. Step 5: Solve for x
    x = 671,628.14/821.15
  6. Step 6: Final answer
    x = 817.91

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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.