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Finding the Fourth Proportional to 789.27, 1,089.07 and 457.72

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Solution

The fourth proportional to 789.27, 1,089.07 and 457.72 is: 631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.27 : 1,089.07 = 457.72 : x
  2. Step 2: Convert to fraction form
    789.27/1,089.07 = 457.72/x
  3. Step 3: Cross multiply
    789.27x = 1,089.07 × 457.72
  4. Step 4: Simplify right side
    789.27x = 498,489.12
  5. Step 5: Solve for x
    x = 498,489.12/789.27
  6. Step 6: Final answer
    x = 631.58

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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.