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Finding the Fourth Proportional to 445.42, 670.69 and 324.52

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Solution

The fourth proportional to 445.42, 670.69 and 324.52 is: 488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.42 : 670.69 = 324.52 : x
  2. Step 2: Convert to fraction form
    445.42/670.69 = 324.52/x
  3. Step 3: Cross multiply
    445.42x = 670.69 × 324.52
  4. Step 4: Simplify right side
    445.42x = 217,652.32
  5. Step 5: Solve for x
    x = 217,652.32/445.42
  6. Step 6: Final answer
    x = 488.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.