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Finding the Fourth Proportional to 685.40, 1,027.77 and 274.19

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Solution

The fourth proportional to 685.40, 1,027.77 and 274.19 is: 411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 1,027.77 = 274.19 : x
  2. Step 2: Convert to fraction form
    685.40/1,027.77 = 274.19/x
  3. Step 3: Cross multiply
    685.40x = 1,027.77 × 274.19
  4. Step 4: Simplify right side
    685.40x = 281,804.26
  5. Step 5: Solve for x
    x = 281,804.26/685.40
  6. Step 6: Final answer
    x = 411.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.