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Finding the Fourth Proportional to 785.65, 1,084.22 and 431.59

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Solution

The fourth proportional to 785.65, 1,084.22 and 431.59 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.65 : 1,084.22 = 431.59 : x
  2. Step 2: Convert to fraction form
    785.65/1,084.22 = 431.59/x
  3. Step 3: Cross multiply
    785.65x = 1,084.22 × 431.59
  4. Step 4: Simplify right side
    785.65x = 467,938.51
  5. Step 5: Solve for x
    x = 467,938.51/785.65
  6. Step 6: Final answer
    x = 595.61

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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.