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Finding the Fourth Proportional to 605.85, 836.47 and 465.71

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Solution

The fourth proportional to 605.85, 836.47 and 465.71 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 836.47 = 465.71 : x
  2. Step 2: Convert to fraction form
    605.85/836.47 = 465.71/x
  3. Step 3: Cross multiply
    605.85x = 836.47 × 465.71
  4. Step 4: Simplify right side
    605.85x = 389,552.44
  5. Step 5: Solve for x
    x = 389,552.44/605.85
  6. Step 6: Final answer
    x = 642.98

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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.