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Finding the Fourth Proportional to 1,097.79, 1,515.42 and 743.97

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Solution

The fourth proportional to 1,097.79, 1,515.42 and 743.97 is: 1,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.79 : 1,515.42 = 743.97 : x
  2. Step 2: Convert to fraction form
    1,097.79/1,515.42 = 743.97/x
  3. Step 3: Cross multiply
    1,097.79x = 1,515.42 × 743.97
  4. Step 4: Simplify right side
    1,097.79x = 1,127,427.02
  5. Step 5: Solve for x
    x = 1,127,427.02/1,097.79
  6. Step 6: Final answer
    x = 1,027.00

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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.