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Finding the Fourth Proportional to 789.42, 1,089.46 and 435.40

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Solution

The fourth proportional to 789.42, 1,089.46 and 435.40 is: 600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,089.46 = 435.40 : x
  2. Step 2: Convert to fraction form
    789.42/1,089.46 = 435.40/x
  3. Step 3: Cross multiply
    789.42x = 1,089.46 × 435.40
  4. Step 4: Simplify right side
    789.42x = 474,350.88
  5. Step 5: Solve for x
    x = 474,350.88/789.42
  6. Step 6: Final answer
    x = 600.89

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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.