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Finding the Fourth Proportional to 797.18, 1,098.97 and 563.90

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Solution

The fourth proportional to 797.18, 1,098.97 and 563.90 is: 777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.18 : 1,098.97 = 563.90 : x
  2. Step 2: Convert to fraction form
    797.18/1,098.97 = 563.90/x
  3. Step 3: Cross multiply
    797.18x = 1,098.97 × 563.90
  4. Step 4: Simplify right side
    797.18x = 619,702.28
  5. Step 5: Solve for x
    x = 619,702.28/797.18
  6. Step 6: Final answer
    x = 777.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.