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Finding the Fourth Proportional to 442.72, 606.56 and 436.64

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Solution

The fourth proportional to 442.72, 606.56 and 436.64 is: 598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 606.56 = 436.64 : x
  2. Step 2: Convert to fraction form
    442.72/606.56 = 436.64/x
  3. Step 3: Cross multiply
    442.72x = 606.56 × 436.64
  4. Step 4: Simplify right side
    442.72x = 264,848.36
  5. Step 5: Solve for x
    x = 264,848.36/442.72
  6. Step 6: Final answer
    x = 598.23

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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.