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Finding the Fourth Proportional to 761.83, 1,049.09 and 746.37

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Solution

The fourth proportional to 761.83, 1,049.09 and 746.37 is: 1,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.83 : 1,049.09 = 746.37 : x
  2. Step 2: Convert to fraction form
    761.83/1,049.09 = 746.37/x
  3. Step 3: Cross multiply
    761.83x = 1,049.09 × 746.37
  4. Step 4: Simplify right side
    761.83x = 783,005.57
  5. Step 5: Solve for x
    x = 783,005.57/761.83
  6. Step 6: Final answer
    x = 1,027.80

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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.