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Finding the Fourth Proportional to 739.80, 1,100.16 and 716.76

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Solution

The fourth proportional to 739.80, 1,100.16 and 716.76 is: 1,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.80 : 1,100.16 = 716.76 : x
  2. Step 2: Convert to fraction form
    739.80/1,100.16 = 716.76/x
  3. Step 3: Cross multiply
    739.80x = 1,100.16 × 716.76
  4. Step 4: Simplify right side
    739.80x = 788,550.68
  5. Step 5: Solve for x
    x = 788,550.68/739.80
  6. Step 6: Final answer
    x = 1,065.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.