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Finding the Fourth Proportional to 789.42, 1,089.45 and 440.13

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Solution

The fourth proportional to 789.42, 1,089.45 and 440.13 is: 607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,089.45 = 440.13 : x
  2. Step 2: Convert to fraction form
    789.42/1,089.45 = 440.13/x
  3. Step 3: Cross multiply
    789.42x = 1,089.45 × 440.13
  4. Step 4: Simplify right side
    789.42x = 479,499.63
  5. Step 5: Solve for x
    x = 479,499.63/789.42
  6. Step 6: Final answer
    x = 607.41

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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.