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Finding the Fourth Proportional to 789.63, 1,089.39 and 457.94

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Solution

The fourth proportional to 789.63, 1,089.39 and 457.94 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,089.39 = 457.94 : x
  2. Step 2: Convert to fraction form
    789.63/1,089.39 = 457.94/x
  3. Step 3: Cross multiply
    789.63x = 1,089.39 × 457.94
  4. Step 4: Simplify right side
    789.63x = 498,869.81
  5. Step 5: Solve for x
    x = 498,869.81/789.63
  6. Step 6: Final answer
    x = 631.78

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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.