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Finding the Fourth Proportional to 974.68, 1,345.62 and 727.36

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Solution

The fourth proportional to 974.68, 1,345.62 and 727.36 is: 1,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.68 : 1,345.62 = 727.36 : x
  2. Step 2: Convert to fraction form
    974.68/1,345.62 = 727.36/x
  3. Step 3: Cross multiply
    974.68x = 1,345.62 × 727.36
  4. Step 4: Simplify right side
    974.68x = 978,750.16
  5. Step 5: Solve for x
    x = 978,750.16/974.68
  6. Step 6: Final answer
    x = 1,004.18

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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.