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Finding the Fourth Proportional to 436.12, 602.63 and 324.54

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Solution

The fourth proportional to 436.12, 602.63 and 324.54 is: 448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.12 : 602.63 = 324.54 : x
  2. Step 2: Convert to fraction form
    436.12/602.63 = 324.54/x
  3. Step 3: Cross multiply
    436.12x = 602.63 × 324.54
  4. Step 4: Simplify right side
    436.12x = 195,575.92
  5. Step 5: Solve for x
    x = 195,575.92/436.12
  6. Step 6: Final answer
    x = 448.45

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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.