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Finding the Fourth Proportional to 789.24, 1,089.20 and 457.71

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Solution

The fourth proportional to 789.24, 1,089.20 and 457.71 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.24 : 1,089.20 = 457.71 : x
  2. Step 2: Convert to fraction form
    789.24/1,089.20 = 457.71/x
  3. Step 3: Cross multiply
    789.24x = 1,089.20 × 457.71
  4. Step 4: Simplify right side
    789.24x = 498,537.73
  5. Step 5: Solve for x
    x = 498,537.73/789.24
  6. Step 6: Final answer
    x = 631.67

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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.