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Finding the Fourth Proportional to 797.48, 1,097.46 and 774.92

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Solution

The fourth proportional to 797.48, 1,097.46 and 774.92 is: 1,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.48 : 1,097.46 = 774.92 : x
  2. Step 2: Convert to fraction form
    797.48/1,097.46 = 774.92/x
  3. Step 3: Cross multiply
    797.48x = 1,097.46 × 774.92
  4. Step 4: Simplify right side
    797.48x = 850,443.70
  5. Step 5: Solve for x
    x = 850,443.70/797.48
  6. Step 6: Final answer
    x = 1,066.41

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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.