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Finding the Fourth Proportional to 919.76, 1,380.14 and 392.61

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Solution

The fourth proportional to 919.76, 1,380.14 and 392.61 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.76 : 1,380.14 = 392.61 : x
  2. Step 2: Convert to fraction form
    919.76/1,380.14 = 392.61/x
  3. Step 3: Cross multiply
    919.76x = 1,380.14 × 392.61
  4. Step 4: Simplify right side
    919.76x = 541,861.45
  5. Step 5: Solve for x
    x = 541,861.45/919.76
  6. Step 6: Final answer
    x = 589.14

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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.