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Finding the Fourth Proportional to 407.32, 614.41 and 394.36

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Solution

The fourth proportional to 407.32, 614.41 and 394.36 is: 594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 614.41 = 394.36 : x
  2. Step 2: Convert to fraction form
    407.32/614.41 = 394.36/x
  3. Step 3: Cross multiply
    407.32x = 614.41 × 394.36
  4. Step 4: Simplify right side
    407.32x = 242,298.73
  5. Step 5: Solve for x
    x = 242,298.73/407.32
  6. Step 6: Final answer
    x = 594.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.