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Finding the Fourth Proportional to 466.89, 697.05 and 393.99

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Solution

The fourth proportional to 466.89, 697.05 and 393.99 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.89 : 697.05 = 393.99 : x
  2. Step 2: Convert to fraction form
    466.89/697.05 = 393.99/x
  3. Step 3: Cross multiply
    466.89x = 697.05 × 393.99
  4. Step 4: Simplify right side
    466.89x = 274,630.73
  5. Step 5: Solve for x
    x = 274,630.73/466.89
  6. Step 6: Final answer
    x = 588.21

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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.