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Finding the Fourth Proportional to 1,129.94, 1,695.78 and 739.83

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Solution

The fourth proportional to 1,129.94, 1,695.78 and 739.83 is: 1,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.94 : 1,695.78 = 739.83 : x
  2. Step 2: Convert to fraction form
    1,129.94/1,695.78 = 739.83/x
  3. Step 3: Cross multiply
    1,129.94x = 1,695.78 × 739.83
  4. Step 4: Simplify right side
    1,129.94x = 1,254,588.92
  5. Step 5: Solve for x
    x = 1,254,588.92/1,129.94
  6. Step 6: Final answer
    x = 1,110.32

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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.