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Finding the Fourth Proportional to 698.12, 1,046.31 and 611.25

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Solution

The fourth proportional to 698.12, 1,046.31 and 611.25 is: 916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.12 : 1,046.31 = 611.25 : x
  2. Step 2: Convert to fraction form
    698.12/1,046.31 = 611.25/x
  3. Step 3: Cross multiply
    698.12x = 1,046.31 × 611.25
  4. Step 4: Simplify right side
    698.12x = 639,556.99
  5. Step 5: Solve for x
    x = 639,556.99/698.12
  6. Step 6: Final answer
    x = 916.11

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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.