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Finding the Fourth Proportional to 605.14, 834.69 and 430.58

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Solution

The fourth proportional to 605.14, 834.69 and 430.58 is: 593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.14 : 834.69 = 430.58 : x
  2. Step 2: Convert to fraction form
    605.14/834.69 = 430.58/x
  3. Step 3: Cross multiply
    605.14x = 834.69 × 430.58
  4. Step 4: Simplify right side
    605.14x = 359,400.82
  5. Step 5: Solve for x
    x = 359,400.82/605.14
  6. Step 6: Final answer
    x = 593.91

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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.