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Finding the Fourth Proportional to 843.07, 1,263.32 and 432.31

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Solution

The fourth proportional to 843.07, 1,263.32 and 432.31 is: 647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.07 : 1,263.32 = 432.31 : x
  2. Step 2: Convert to fraction form
    843.07/1,263.32 = 432.31/x
  3. Step 3: Cross multiply
    843.07x = 1,263.32 × 432.31
  4. Step 4: Simplify right side
    843.07x = 546,145.87
  5. Step 5: Solve for x
    x = 546,145.87/843.07
  6. Step 6: Final answer
    x = 647.81

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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.