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Finding the Fourth Proportional to 797.40, 1,100.16 and 610.56

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Solution

The fourth proportional to 797.40, 1,100.16 and 610.56 is: 842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,100.16 = 610.56 : x
  2. Step 2: Convert to fraction form
    797.40/1,100.16 = 610.56/x
  3. Step 3: Cross multiply
    797.40x = 1,100.16 × 610.56
  4. Step 4: Simplify right side
    797.40x = 671,713.69
  5. Step 5: Solve for x
    x = 671,713.69/797.40
  6. Step 6: Final answer
    x = 842.38

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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.