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Finding the Fourth Proportional to 437.07, 601.72 and 378.84

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Solution

The fourth proportional to 437.07, 601.72 and 378.84 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.07 : 601.72 = 378.84 : x
  2. Step 2: Convert to fraction form
    437.07/601.72 = 378.84/x
  3. Step 3: Cross multiply
    437.07x = 601.72 × 378.84
  4. Step 4: Simplify right side
    437.07x = 227,955.60
  5. Step 5: Solve for x
    x = 227,955.60/437.07
  6. Step 6: Final answer
    x = 521.55

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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.