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Finding the Fourth Proportional to 843.50, 1,263.60 and 431.42

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Solution

The fourth proportional to 843.50, 1,263.60 and 431.42 is: 646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.50 : 1,263.60 = 431.42 : x
  2. Step 2: Convert to fraction form
    843.50/1,263.60 = 431.42/x
  3. Step 3: Cross multiply
    843.50x = 1,263.60 × 431.42
  4. Step 4: Simplify right side
    843.50x = 545,142.31
  5. Step 5: Solve for x
    x = 545,142.31/843.50
  6. Step 6: Final answer
    x = 646.29

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1.5x scale

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.