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Finding the Fourth Proportional to 605.59, 836.19 and 465.49

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Solution

The fourth proportional to 605.59, 836.19 and 465.49 is: 642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.59 : 836.19 = 465.49 : x
  2. Step 2: Convert to fraction form
    605.59/836.19 = 465.49/x
  3. Step 3: Cross multiply
    605.59x = 836.19 × 465.49
  4. Step 4: Simplify right side
    605.59x = 389,235.76
  5. Step 5: Solve for x
    x = 389,235.76/605.59
  6. Step 6: Final answer
    x = 642.74

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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.