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Finding the Fourth Proportional to 975.96, 1,347 and 728.52

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Solution

The fourth proportional to 975.96, 1,347 and 728.52 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.96 : 1,347 = 728.52 : x
  2. Step 2: Convert to fraction form
    975.96/1,347 = 728.52/x
  3. Step 3: Cross multiply
    975.96x = 1,347 × 728.52
  4. Step 4: Simplify right side
    975.96x = 981,316.44
  5. Step 5: Solve for x
    x = 981,316.44/975.96
  6. Step 6: Final answer
    x = 1,005.49

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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.