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Finding the Fourth Proportional to 467.84, 700.80 and 380.78

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Solution

The fourth proportional to 467.84, 700.80 and 380.78 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.84 : 700.80 = 380.78 : x
  2. Step 2: Convert to fraction form
    467.84/700.80 = 380.78/x
  3. Step 3: Cross multiply
    467.84x = 700.80 × 380.78
  4. Step 4: Simplify right side
    467.84x = 266,850.62
  5. Step 5: Solve for x
    x = 266,850.62/467.84
  6. Step 6: Final answer
    x = 570.39

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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.