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Finding the Fourth Proportional to 789.82, 1,090.19 and 458.46

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Solution

The fourth proportional to 789.82, 1,090.19 and 458.46 is: 632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.82 : 1,090.19 = 458.46 : x
  2. Step 2: Convert to fraction form
    789.82/1,090.19 = 458.46/x
  3. Step 3: Cross multiply
    789.82x = 1,090.19 × 458.46
  4. Step 4: Simplify right side
    789.82x = 499,809.65
  5. Step 5: Solve for x
    x = 499,809.65/789.82
  6. Step 6: Final answer
    x = 632.82

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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.