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Finding the Fourth Proportional to 789.95, 1,090.12 and 458.57

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Solution

The fourth proportional to 789.95, 1,090.12 and 458.57 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.95 : 1,090.12 = 458.57 : x
  2. Step 2: Convert to fraction form
    789.95/1,090.12 = 458.57/x
  3. Step 3: Cross multiply
    789.95x = 1,090.12 × 458.57
  4. Step 4: Simplify right side
    789.95x = 499,890.88
  5. Step 5: Solve for x
    x = 499,890.88/789.95
  6. Step 6: Final answer
    x = 632.81

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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.