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Finding the Fourth Proportional to 727.60, 985.50 and 727.60

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Solution

The fourth proportional to 727.60, 985.50 and 727.60 is: 985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.60 : 985.50 = 727.60 : x
  2. Step 2: Convert to fraction form
    727.60/985.50 = 727.60/x
  3. Step 3: Cross multiply
    727.60x = 985.50 × 727.60
  4. Step 4: Simplify right side
    727.60x = 717,049.80
  5. Step 5: Solve for x
    x = 717,049.80/727.60
  6. Step 6: Final answer
    x = 985.50

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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.