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Finding the Fourth Proportional to 442.48, 606.26 and 436.72

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Solution

The fourth proportional to 442.48, 606.26 and 436.72 is: 598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.48 : 606.26 = 436.72 : x
  2. Step 2: Convert to fraction form
    442.48/606.26 = 436.72/x
  3. Step 3: Cross multiply
    442.48x = 606.26 × 436.72
  4. Step 4: Simplify right side
    442.48x = 264,765.87
  5. Step 5: Solve for x
    x = 264,765.87/442.48
  6. Step 6: Final answer
    x = 598.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.