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Finding the Fourth Proportional to 765.22, 1,055.17 and 605.43

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Solution

The fourth proportional to 765.22, 1,055.17 and 605.43 is: 834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.22 : 1,055.17 = 605.43 : x
  2. Step 2: Convert to fraction form
    765.22/1,055.17 = 605.43/x
  3. Step 3: Cross multiply
    765.22x = 1,055.17 × 605.43
  4. Step 4: Simplify right side
    765.22x = 638,832.65
  5. Step 5: Solve for x
    x = 638,832.65/765.22
  6. Step 6: Final answer
    x = 834.83

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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.