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Finding the Fourth Proportional to 835.10, 1,149.98 and 716.20

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Solution

The fourth proportional to 835.10, 1,149.98 and 716.20 is: 986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.10 : 1,149.98 = 716.20 : x
  2. Step 2: Convert to fraction form
    835.10/1,149.98 = 716.20/x
  3. Step 3: Cross multiply
    835.10x = 1,149.98 × 716.20
  4. Step 4: Simplify right side
    835.10x = 823,615.68
  5. Step 5: Solve for x
    x = 823,615.68/835.10
  6. Step 6: Final answer
    x = 986.25

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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.