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Finding the Fourth Proportional to 797.75, 1,100.63 and 503.09

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Solution

The fourth proportional to 797.75, 1,100.63 and 503.09 is: 694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.75 : 1,100.63 = 503.09 : x
  2. Step 2: Convert to fraction form
    797.75/1,100.63 = 503.09/x
  3. Step 3: Cross multiply
    797.75x = 1,100.63 × 503.09
  4. Step 4: Simplify right side
    797.75x = 553,713.43
  5. Step 5: Solve for x
    x = 553,713.43/797.75
  6. Step 6: Final answer
    x = 694.09

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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.