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Finding the Fourth Proportional to 727.20, 984.60 and 727.20

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Solution

The fourth proportional to 727.20, 984.60 and 727.20 is: 984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.20 : 984.60 = 727.20 : x
  2. Step 2: Convert to fraction form
    727.20/984.60 = 727.20/x
  3. Step 3: Cross multiply
    727.20x = 984.60 × 727.20
  4. Step 4: Simplify right side
    727.20x = 716,001.12
  5. Step 5: Solve for x
    x = 716,001.12/727.20
  6. Step 6: Final answer
    x = 984.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.