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Finding the Fourth Proportional to 789.44, 1,090.23 and 624.86

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Solution

The fourth proportional to 789.44, 1,090.23 and 624.86 is: 862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.44 : 1,090.23 = 624.86 : x
  2. Step 2: Convert to fraction form
    789.44/1,090.23 = 624.86/x
  3. Step 3: Cross multiply
    789.44x = 1,090.23 × 624.86
  4. Step 4: Simplify right side
    789.44x = 681,235.67
  5. Step 5: Solve for x
    x = 681,235.67/789.44
  6. Step 6: Final answer
    x = 862.94

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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.