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Finding the Fourth Proportional to 698.36, 1,046.94 and 389.96

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Solution

The fourth proportional to 698.36, 1,046.94 and 389.96 is: 584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.36 : 1,046.94 = 389.96 : x
  2. Step 2: Convert to fraction form
    698.36/1,046.94 = 389.96/x
  3. Step 3: Cross multiply
    698.36x = 1,046.94 × 389.96
  4. Step 4: Simplify right side
    698.36x = 408,264.72
  5. Step 5: Solve for x
    x = 408,264.72/698.36
  6. Step 6: Final answer
    x = 584.60

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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.