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Finding the Fourth Proportional to 785.10, 1,083.42 and 431.01

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Solution

The fourth proportional to 785.10, 1,083.42 and 431.01 is: 594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.10 : 1,083.42 = 431.01 : x
  2. Step 2: Convert to fraction form
    785.10/1,083.42 = 431.01/x
  3. Step 3: Cross multiply
    785.10x = 1,083.42 × 431.01
  4. Step 4: Simplify right side
    785.10x = 466,964.85
  5. Step 5: Solve for x
    x = 466,964.85/785.10
  6. Step 6: Final answer
    x = 594.78

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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.