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Finding the Fourth Proportional to 684.29, 1,026.50 and 273.33

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Solution

The fourth proportional to 684.29, 1,026.50 and 273.33 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.29 : 1,026.50 = 273.33 : x
  2. Step 2: Convert to fraction form
    684.29/1,026.50 = 273.33/x
  3. Step 3: Cross multiply
    684.29x = 1,026.50 × 273.33
  4. Step 4: Simplify right side
    684.29x = 280,566.75
  5. Step 5: Solve for x
    x = 280,566.75/684.29
  6. Step 6: Final answer
    x = 410.01

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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.