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Finding the Fourth Proportional to 789.35, 1,089.47 and 723.74

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Solution

The fourth proportional to 789.35, 1,089.47 and 723.74 is: 998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.35 : 1,089.47 = 723.74 : x
  2. Step 2: Convert to fraction form
    789.35/1,089.47 = 723.74/x
  3. Step 3: Cross multiply
    789.35x = 1,089.47 × 723.74
  4. Step 4: Simplify right side
    789.35x = 788,489.40
  5. Step 5: Solve for x
    x = 788,489.40/789.35
  6. Step 6: Final answer
    x = 998.91

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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.