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Finding the Fourth Proportional to 821.19, 1,226.01 and 721.99

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Solution

The fourth proportional to 821.19, 1,226.01 and 721.99 is: 1,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.19 : 1,226.01 = 721.99 : x
  2. Step 2: Convert to fraction form
    821.19/1,226.01 = 721.99/x
  3. Step 3: Cross multiply
    821.19x = 1,226.01 × 721.99
  4. Step 4: Simplify right side
    821.19x = 885,165.72
  5. Step 5: Solve for x
    x = 885,165.72/821.19
  6. Step 6: Final answer
    x = 1,077.91

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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.