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Finding the Fourth Proportional to 392.64, 589.78 and 312.05

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Solution

The fourth proportional to 392.64, 589.78 and 312.05 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 589.78 = 312.05 : x
  2. Step 2: Convert to fraction form
    392.64/589.78 = 312.05/x
  3. Step 3: Cross multiply
    392.64x = 589.78 × 312.05
  4. Step 4: Simplify right side
    392.64x = 184,040.85
  5. Step 5: Solve for x
    x = 184,040.85/392.64
  6. Step 6: Final answer
    x = 468.73

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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.