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Finding the Fourth Proportional to 797.28, 1,201.38 and 656.16

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Solution

The fourth proportional to 797.28, 1,201.38 and 656.16 is: 988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.28 : 1,201.38 = 656.16 : x
  2. Step 2: Convert to fraction form
    797.28/1,201.38 = 656.16/x
  3. Step 3: Cross multiply
    797.28x = 1,201.38 × 656.16
  4. Step 4: Simplify right side
    797.28x = 788,297.50
  5. Step 5: Solve for x
    x = 788,297.50/797.28
  6. Step 6: Final answer
    x = 988.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.