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Finding the Fourth Proportional to 439.78, 607.50 and 381.46

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Solution

The fourth proportional to 439.78, 607.50 and 381.46 is: 526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.78 : 607.50 = 381.46 : x
  2. Step 2: Convert to fraction form
    439.78/607.50 = 381.46/x
  3. Step 3: Cross multiply
    439.78x = 607.50 × 381.46
  4. Step 4: Simplify right side
    439.78x = 231,736.95
  5. Step 5: Solve for x
    x = 231,736.95/439.78
  6. Step 6: Final answer
    x = 526.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.