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Finding the Fourth Proportional to 684.16, 1,025.96 and 273.76

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Solution

The fourth proportional to 684.16, 1,025.96 and 273.76 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 1,025.96 = 273.76 : x
  2. Step 2: Convert to fraction form
    684.16/1,025.96 = 273.76/x
  3. Step 3: Cross multiply
    684.16x = 1,025.96 × 273.76
  4. Step 4: Simplify right side
    684.16x = 280,866.81
  5. Step 5: Solve for x
    x = 280,866.81/684.16
  6. Step 6: Final answer
    x = 410.53

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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.