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Finding the Fourth Proportional to 442.74, 665.20 and 436.26

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Solution

The fourth proportional to 442.74, 665.20 and 436.26 is: 655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.74 : 665.20 = 436.26 : x
  2. Step 2: Convert to fraction form
    442.74/665.20 = 436.26/x
  3. Step 3: Cross multiply
    442.74x = 665.20 × 436.26
  4. Step 4: Simplify right side
    442.74x = 290,200.15
  5. Step 5: Solve for x
    x = 290,200.15/442.74
  6. Step 6: Final answer
    x = 655.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.