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Finding the Fourth Proportional to 680.97, 1,019.83 and 572.43

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Solution

The fourth proportional to 680.97, 1,019.83 and 572.43 is: 857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.97 : 1,019.83 = 572.43 : x
  2. Step 2: Convert to fraction form
    680.97/1,019.83 = 572.43/x
  3. Step 3: Cross multiply
    680.97x = 1,019.83 × 572.43
  4. Step 4: Simplify right side
    680.97x = 583,774.76
  5. Step 5: Solve for x
    x = 583,774.76/680.97
  6. Step 6: Final answer
    x = 857.28

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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.