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Finding the Fourth Proportional to 797.19, 1,100.13 and 443.12

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Solution

The fourth proportional to 797.19, 1,100.13 and 443.12 is: 611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.19 : 1,100.13 = 443.12 : x
  2. Step 2: Convert to fraction form
    797.19/1,100.13 = 443.12/x
  3. Step 3: Cross multiply
    797.19x = 1,100.13 × 443.12
  4. Step 4: Simplify right side
    797.19x = 487,489.61
  5. Step 5: Solve for x
    x = 487,489.61/797.19
  6. Step 6: Final answer
    x = 611.51

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Half scale
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Double scale
Find fourth proportional to 798.19, 1,101.51 and 444.12
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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.