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Finding the Fourth Proportional to 797.38, 1,100.38 and 448.18

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Solution

The fourth proportional to 797.38, 1,100.38 and 448.18 is: 618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.38 : 1,100.38 = 448.18 : x
  2. Step 2: Convert to fraction form
    797.38/1,100.38 = 448.18/x
  3. Step 3: Cross multiply
    797.38x = 1,100.38 × 448.18
  4. Step 4: Simplify right side
    797.38x = 493,168.31
  5. Step 5: Solve for x
    x = 493,168.31/797.38
  6. Step 6: Final answer
    x = 618.49

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1.5x scale

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.