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Finding the Fourth Proportional to 684.96, 1,027.80 and 396.42

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Solution

The fourth proportional to 684.96, 1,027.80 and 396.42 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 1,027.80 = 396.42 : x
  2. Step 2: Convert to fraction form
    684.96/1,027.80 = 396.42/x
  3. Step 3: Cross multiply
    684.96x = 1,027.80 × 396.42
  4. Step 4: Simplify right side
    684.96x = 407,440.48
  5. Step 5: Solve for x
    x = 407,440.48/684.96
  6. Step 6: Final answer
    x = 594.84

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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.