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Finding the Fourth Proportional to 789.42, 1,089.40 and 440.12

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Solution

The fourth proportional to 789.42, 1,089.40 and 440.12 is: 607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,089.40 = 440.12 : x
  2. Step 2: Convert to fraction form
    789.42/1,089.40 = 440.12/x
  3. Step 3: Cross multiply
    789.42x = 1,089.40 × 440.12
  4. Step 4: Simplify right side
    789.42x = 479,466.73
  5. Step 5: Solve for x
    x = 479,466.73/789.42
  6. Step 6: Final answer
    x = 607.37

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Double scale
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1.5x scale

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.