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Finding the Fourth Proportional to 698.05, 1,046.94 and 651.61

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Solution

The fourth proportional to 698.05, 1,046.94 and 651.61 is: 977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.05 : 1,046.94 = 651.61 : x
  2. Step 2: Convert to fraction form
    698.05/1,046.94 = 651.61/x
  3. Step 3: Cross multiply
    698.05x = 1,046.94 × 651.61
  4. Step 4: Simplify right side
    698.05x = 682,196.57
  5. Step 5: Solve for x
    x = 682,196.57/698.05
  6. Step 6: Final answer
    x = 977.29

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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.