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Finding the Fourth Proportional to 605.21, 835.59 and 465.08

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Solution

The fourth proportional to 605.21, 835.59 and 465.08 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.21 : 835.59 = 465.08 : x
  2. Step 2: Convert to fraction form
    605.21/835.59 = 465.08/x
  3. Step 3: Cross multiply
    605.21x = 835.59 × 465.08
  4. Step 4: Simplify right side
    605.21x = 388,616.20
  5. Step 5: Solve for x
    x = 388,616.20/605.21
  6. Step 6: Final answer
    x = 642.12

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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.