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Finding the Fourth Proportional to 442.13, 609.70 and 375.67

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Solution

The fourth proportional to 442.13, 609.70 and 375.67 is: 518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 609.70 = 375.67 : x
  2. Step 2: Convert to fraction form
    442.13/609.70 = 375.67/x
  3. Step 3: Cross multiply
    442.13x = 609.70 × 375.67
  4. Step 4: Simplify right side
    442.13x = 229,043.54
  5. Step 5: Solve for x
    x = 229,043.54/442.13
  6. Step 6: Final answer
    x = 518.05

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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.