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Finding the Fourth Proportional to 741.06, 1,106.94 and 727.40

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Solution

The fourth proportional to 741.06, 1,106.94 and 727.40 is: 1,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.06 : 1,106.94 = 727.40 : x
  2. Step 2: Convert to fraction form
    741.06/1,106.94 = 727.40/x
  3. Step 3: Cross multiply
    741.06x = 1,106.94 × 727.40
  4. Step 4: Simplify right side
    741.06x = 805,182.62
  5. Step 5: Solve for x
    x = 805,182.62/741.06
  6. Step 6: Final answer
    x = 1,086.53

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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.