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Finding the Fourth Proportional to 1,214.79, 1,821.27 and 823.68

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Solution

The fourth proportional to 1,214.79, 1,821.27 and 823.68 is: 1,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.79 : 1,821.27 = 823.68 : x
  2. Step 2: Convert to fraction form
    1,214.79/1,821.27 = 823.68/x
  3. Step 3: Cross multiply
    1,214.79x = 1,821.27 × 823.68
  4. Step 4: Simplify right side
    1,214.79x = 1,500,143.67
  5. Step 5: Solve for x
    x = 1,500,143.67/1,214.79
  6. Step 6: Final answer
    x = 1,234.90

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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.