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Finding the Fourth Proportional to 684.85, 1,027.51 and 376.31

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Solution

The fourth proportional to 684.85, 1,027.51 and 376.31 is: 564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.85 : 1,027.51 = 376.31 : x
  2. Step 2: Convert to fraction form
    684.85/1,027.51 = 376.31/x
  3. Step 3: Cross multiply
    684.85x = 1,027.51 × 376.31
  4. Step 4: Simplify right side
    684.85x = 386,662.29
  5. Step 5: Solve for x
    x = 386,662.29/684.85
  6. Step 6: Final answer
    x = 564.59

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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.