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Finding the Fourth Proportional to 1,227.38, 1,693.72 and 730.01

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Solution

The fourth proportional to 1,227.38, 1,693.72 and 730.01 is: 1,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.38 : 1,693.72 = 730.01 : x
  2. Step 2: Convert to fraction form
    1,227.38/1,693.72 = 730.01/x
  3. Step 3: Cross multiply
    1,227.38x = 1,693.72 × 730.01
  4. Step 4: Simplify right side
    1,227.38x = 1,236,422.24
  5. Step 5: Solve for x
    x = 1,236,422.24/1,227.38
  6. Step 6: Final answer
    x = 1,007.37

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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.