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Finding the Fourth Proportional to 437.20, 652.56 and 378.37

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Solution

The fourth proportional to 437.20, 652.56 and 378.37 is: 564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 652.56 = 378.37 : x
  2. Step 2: Convert to fraction form
    437.20/652.56 = 378.37/x
  3. Step 3: Cross multiply
    437.20x = 652.56 × 378.37
  4. Step 4: Simplify right side
    437.20x = 246,908.52
  5. Step 5: Solve for x
    x = 246,908.52/437.20
  6. Step 6: Final answer
    x = 564.75

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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.