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Finding the Fourth Proportional to 392.32, 587.76 and 289.05

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Solution

The fourth proportional to 392.32, 587.76 and 289.05 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 587.76 = 289.05 : x
  2. Step 2: Convert to fraction form
    392.32/587.76 = 289.05/x
  3. Step 3: Cross multiply
    392.32x = 587.76 × 289.05
  4. Step 4: Simplify right side
    392.32x = 169,892.03
  5. Step 5: Solve for x
    x = 169,892.03/392.32
  6. Step 6: Final answer
    x = 433.04

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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.