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Finding the Fourth Proportional to 442.30, 663.49 and 436.30

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Solution

The fourth proportional to 442.30, 663.49 and 436.30 is: 654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.30 : 663.49 = 436.30 : x
  2. Step 2: Convert to fraction form
    442.30/663.49 = 436.30/x
  3. Step 3: Cross multiply
    442.30x = 663.49 × 436.30
  4. Step 4: Simplify right side
    442.30x = 289,480.85
  5. Step 5: Solve for x
    x = 289,480.85/442.30
  6. Step 6: Final answer
    x = 654.49

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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.