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Finding the Fourth Proportional to 468.18, 701.04 and 394.86

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Solution

The fourth proportional to 468.18, 701.04 and 394.86 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 701.04 = 394.86 : x
  2. Step 2: Convert to fraction form
    468.18/701.04 = 394.86/x
  3. Step 3: Cross multiply
    468.18x = 701.04 × 394.86
  4. Step 4: Simplify right side
    468.18x = 276,812.65
  5. Step 5: Solve for x
    x = 276,812.65/468.18
  6. Step 6: Final answer
    x = 591.25

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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.