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Finding the Fourth Proportional to 1,205, 1,663.36 and 739.24

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Solution

The fourth proportional to 1,205, 1,663.36 and 739.24 is: 1,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205 : 1,663.36 = 739.24 : x
  2. Step 2: Convert to fraction form
    1,205/1,663.36 = 739.24/x
  3. Step 3: Cross multiply
    1,205x = 1,663.36 × 739.24
  4. Step 4: Simplify right side
    1,205x = 1,229,622.25
  5. Step 5: Solve for x
    x = 1,229,622.25/1,205
  6. Step 6: Final answer
    x = 1,020.43

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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.