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Finding the Fourth Proportional to 910.52, 1,365.78 and 727.06

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Solution

The fourth proportional to 910.52, 1,365.78 and 727.06 is: 1,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.52 : 1,365.78 = 727.06 : x
  2. Step 2: Convert to fraction form
    910.52/1,365.78 = 727.06/x
  3. Step 3: Cross multiply
    910.52x = 1,365.78 × 727.06
  4. Step 4: Simplify right side
    910.52x = 992,993.54
  5. Step 5: Solve for x
    x = 992,993.54/910.52
  6. Step 6: Final answer
    x = 1,090.58

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.