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Finding the Fourth Proportional to 605.26, 835.65 and 465.11

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Solution

The fourth proportional to 605.26, 835.65 and 465.11 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.26 : 835.65 = 465.11 : x
  2. Step 2: Convert to fraction form
    605.26/835.65 = 465.11/x
  3. Step 3: Cross multiply
    605.26x = 835.65 × 465.11
  4. Step 4: Simplify right side
    605.26x = 388,669.17
  5. Step 5: Solve for x
    x = 388,669.17/605.26
  6. Step 6: Final answer
    x = 642.15

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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.