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Finding the Fourth Proportional to 441.54, 609.57 and 419.04

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Solution

The fourth proportional to 441.54, 609.57 and 419.04 is: 578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.54 : 609.57 = 419.04 : x
  2. Step 2: Convert to fraction form
    441.54/609.57 = 419.04/x
  3. Step 3: Cross multiply
    441.54x = 609.57 × 419.04
  4. Step 4: Simplify right side
    441.54x = 255,434.21
  5. Step 5: Solve for x
    x = 255,434.21/441.54
  6. Step 6: Final answer
    x = 578.51

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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.