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Finding the Fourth Proportional to 1,129.99, 1,695.78 and 739.97

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Solution

The fourth proportional to 1,129.99, 1,695.78 and 739.97 is: 1,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.99 : 1,695.78 = 739.97 : x
  2. Step 2: Convert to fraction form
    1,129.99/1,695.78 = 739.97/x
  3. Step 3: Cross multiply
    1,129.99x = 1,695.78 × 739.97
  4. Step 4: Simplify right side
    1,129.99x = 1,254,826.33
  5. Step 5: Solve for x
    x = 1,254,826.33/1,129.99
  6. Step 6: Final answer
    x = 1,110.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.