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Finding the Fourth Proportional to 698.25, 1,047.33 and 287.28

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Solution

The fourth proportional to 698.25, 1,047.33 and 287.28 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.25 : 1,047.33 = 287.28 : x
  2. Step 2: Convert to fraction form
    698.25/1,047.33 = 287.28/x
  3. Step 3: Cross multiply
    698.25x = 1,047.33 × 287.28
  4. Step 4: Simplify right side
    698.25x = 300,876.96
  5. Step 5: Solve for x
    x = 300,876.96/698.25
  6. Step 6: Final answer
    x = 430.90

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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.