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Finding the Fourth Proportional to 466.44, 699.70 and 380.58

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Solution

The fourth proportional to 466.44, 699.70 and 380.58 is: 570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 699.70 = 380.58 : x
  2. Step 2: Convert to fraction form
    466.44/699.70 = 380.58/x
  3. Step 3: Cross multiply
    466.44x = 699.70 × 380.58
  4. Step 4: Simplify right side
    466.44x = 266,291.83
  5. Step 5: Solve for x
    x = 266,291.83/466.44
  6. Step 6: Final answer
    x = 570.90

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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.