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Finding the Fourth Proportional to 466.20, 697.68 and 393.84

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Solution

The fourth proportional to 466.20, 697.68 and 393.84 is: 589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 697.68 = 393.84 : x
  2. Step 2: Convert to fraction form
    466.20/697.68 = 393.84/x
  3. Step 3: Cross multiply
    466.20x = 697.68 × 393.84
  4. Step 4: Simplify right side
    466.20x = 274,774.29
  5. Step 5: Solve for x
    x = 274,774.29/466.20
  6. Step 6: Final answer
    x = 589.39

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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.