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Finding the Fourth Proportional to 797.68, 1,100.34 and 548.61

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Solution

The fourth proportional to 797.68, 1,100.34 and 548.61 is: 756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.68 : 1,100.34 = 548.61 : x
  2. Step 2: Convert to fraction form
    797.68/1,100.34 = 548.61/x
  3. Step 3: Cross multiply
    797.68x = 1,100.34 × 548.61
  4. Step 4: Simplify right side
    797.68x = 603,657.53
  5. Step 5: Solve for x
    x = 603,657.53/797.68
  6. Step 6: Final answer
    x = 756.77

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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.