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Finding the Fourth Proportional to 975.87, 1,348.29 and 728.01

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Solution

The fourth proportional to 975.87, 1,348.29 and 728.01 is: 1,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.87 : 1,348.29 = 728.01 : x
  2. Step 2: Convert to fraction form
    975.87/1,348.29 = 728.01/x
  3. Step 3: Cross multiply
    975.87x = 1,348.29 × 728.01
  4. Step 4: Simplify right side
    975.87x = 981,568.60
  5. Step 5: Solve for x
    x = 981,568.60/975.87
  6. Step 6: Final answer
    x = 1,005.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.