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Finding the Fourth Proportional to 789.83, 1,089.54 and 537.68

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Solution

The fourth proportional to 789.83, 1,089.54 and 537.68 is: 741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.83 : 1,089.54 = 537.68 : x
  2. Step 2: Convert to fraction form
    789.83/1,089.54 = 537.68/x
  3. Step 3: Cross multiply
    789.83x = 1,089.54 × 537.68
  4. Step 4: Simplify right side
    789.83x = 585,823.87
  5. Step 5: Solve for x
    x = 585,823.87/789.83
  6. Step 6: Final answer
    x = 741.71

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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.