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Finding the Fourth Proportional to 821.86, 1,225.86 and 698.74

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Solution

The fourth proportional to 821.86, 1,225.86 and 698.74 is: 1,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,225.86 = 698.74 : x
  2. Step 2: Convert to fraction form
    821.86/1,225.86 = 698.74/x
  3. Step 3: Cross multiply
    821.86x = 1,225.86 × 698.74
  4. Step 4: Simplify right side
    821.86x = 856,551.73
  5. Step 5: Solve for x
    x = 856,551.73/821.86
  6. Step 6: Final answer
    x = 1,042.21

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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.