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Finding the Fourth Proportional to 1,043.42, 1,563.39 and 734.62

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Solution

The fourth proportional to 1,043.42, 1,563.39 and 734.62 is: 1,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.42 : 1,563.39 = 734.62 : x
  2. Step 2: Convert to fraction form
    1,043.42/1,563.39 = 734.62/x
  3. Step 3: Cross multiply
    1,043.42x = 1,563.39 × 734.62
  4. Step 4: Simplify right side
    1,043.42x = 1,148,497.56
  5. Step 5: Solve for x
    x = 1,148,497.56/1,043.42
  6. Step 6: Final answer
    x = 1,100.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.