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Finding the Fourth Proportional to 785.29, 1,083.70 and 431.22

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Solution

The fourth proportional to 785.29, 1,083.70 and 431.22 is: 595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.29 : 1,083.70 = 431.22 : x
  2. Step 2: Convert to fraction form
    785.29/1,083.70 = 431.22/x
  3. Step 3: Cross multiply
    785.29x = 1,083.70 × 431.22
  4. Step 4: Simplify right side
    785.29x = 467,313.11
  5. Step 5: Solve for x
    x = 467,313.11/785.29
  6. Step 6: Final answer
    x = 595.08

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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.