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Finding the Fourth Proportional to 605.18, 835.02 and 465.45

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Solution

The fourth proportional to 605.18, 835.02 and 465.45 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.18 : 835.02 = 465.45 : x
  2. Step 2: Convert to fraction form
    605.18/835.02 = 465.45/x
  3. Step 3: Cross multiply
    605.18x = 835.02 × 465.45
  4. Step 4: Simplify right side
    605.18x = 388,660.06
  5. Step 5: Solve for x
    x = 388,660.06/605.18
  6. Step 6: Final answer
    x = 642.22

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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.