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Finding the Fourth Proportional to 605.54, 834.40 and 465.65

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Solution

The fourth proportional to 605.54, 834.40 and 465.65 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.54 : 834.40 = 465.65 : x
  2. Step 2: Convert to fraction form
    605.54/834.40 = 465.65/x
  3. Step 3: Cross multiply
    605.54x = 834.40 × 465.65
  4. Step 4: Simplify right side
    605.54x = 388,538.36
  5. Step 5: Solve for x
    x = 388,538.36/605.54
  6. Step 6: Final answer
    x = 641.64

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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.