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Finding the Fourth Proportional to 399.70, 596.84 and 376.92

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Solution

The fourth proportional to 399.70, 596.84 and 376.92 is: 562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 596.84 = 376.92 : x
  2. Step 2: Convert to fraction form
    399.70/596.84 = 376.92/x
  3. Step 3: Cross multiply
    399.70x = 596.84 × 376.92
  4. Step 4: Simplify right side
    399.70x = 224,959.05
  5. Step 5: Solve for x
    x = 224,959.05/399.70
  6. Step 6: Final answer
    x = 562.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.