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Finding the Fourth Proportional to 797.45, 1,100.16 and 588.12

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Solution

The fourth proportional to 797.45, 1,100.16 and 588.12 is: 811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.45 : 1,100.16 = 588.12 : x
  2. Step 2: Convert to fraction form
    797.45/1,100.16 = 588.12/x
  3. Step 3: Cross multiply
    797.45x = 1,100.16 × 588.12
  4. Step 4: Simplify right side
    797.45x = 647,030.54
  5. Step 5: Solve for x
    x = 647,030.54/797.45
  6. Step 6: Final answer
    x = 811.38

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Double scale
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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.