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Finding the Fourth Proportional to 785.45, 1,083.90 and 431.37

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Solution

The fourth proportional to 785.45, 1,083.90 and 431.37 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.45 : 1,083.90 = 431.37 : x
  2. Step 2: Convert to fraction form
    785.45/1,083.90 = 431.37/x
  3. Step 3: Cross multiply
    785.45x = 1,083.90 × 431.37
  4. Step 4: Simplify right side
    785.45x = 467,561.94
  5. Step 5: Solve for x
    x = 467,561.94/785.45
  6. Step 6: Final answer
    x = 595.28

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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.