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Finding the Fourth Proportional to 975.73, 1,457.67 and 743.97

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Solution

The fourth proportional to 975.73, 1,457.67 and 743.97 is: 1,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.73 : 1,457.67 = 743.97 : x
  2. Step 2: Convert to fraction form
    975.73/1,457.67 = 743.97/x
  3. Step 3: Cross multiply
    975.73x = 1,457.67 × 743.97
  4. Step 4: Simplify right side
    975.73x = 1,084,462.75
  5. Step 5: Solve for x
    x = 1,084,462.75/975.73
  6. Step 6: Final answer
    x = 1,111.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.