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Finding the Fourth Proportional to 797.08, 1,098.78 and 563.80

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Solution

The fourth proportional to 797.08, 1,098.78 and 563.80 is: 777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.08 : 1,098.78 = 563.80 : x
  2. Step 2: Convert to fraction form
    797.08/1,098.78 = 563.80/x
  3. Step 3: Cross multiply
    797.08x = 1,098.78 × 563.80
  4. Step 4: Simplify right side
    797.08x = 619,492.16
  5. Step 5: Solve for x
    x = 619,492.16/797.08
  6. Step 6: Final answer
    x = 777.20

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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.