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Finding the Fourth Proportional to 684.69, 1,027.59 and 274.12

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Solution

The fourth proportional to 684.69, 1,027.59 and 274.12 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.69 : 1,027.59 = 274.12 : x
  2. Step 2: Convert to fraction form
    684.69/1,027.59 = 274.12/x
  3. Step 3: Cross multiply
    684.69x = 1,027.59 × 274.12
  4. Step 4: Simplify right side
    684.69x = 281,679.37
  5. Step 5: Solve for x
    x = 281,679.37/684.69
  6. Step 6: Final answer
    x = 411.40

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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.