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Finding the Fourth Proportional to 605.30, 834.84 and 512.30

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Solution

The fourth proportional to 605.30, 834.84 and 512.30 is: 706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.30 : 834.84 = 512.30 : x
  2. Step 2: Convert to fraction form
    605.30/834.84 = 512.30/x
  3. Step 3: Cross multiply
    605.30x = 834.84 × 512.30
  4. Step 4: Simplify right side
    605.30x = 427,688.53
  5. Step 5: Solve for x
    x = 427,688.53/605.30
  6. Step 6: Final answer
    x = 706.57

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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.