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Finding the Fourth Proportional to 789.80, 1,089.84 and 458.12

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Solution

The fourth proportional to 789.80, 1,089.84 and 458.12 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,089.84 = 458.12 : x
  2. Step 2: Convert to fraction form
    789.80/1,089.84 = 458.12/x
  3. Step 3: Cross multiply
    789.80x = 1,089.84 × 458.12
  4. Step 4: Simplify right side
    789.80x = 499,272.05
  5. Step 5: Solve for x
    x = 499,272.05/789.80
  6. Step 6: Final answer
    x = 632.15

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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.