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Finding the Fourth Proportional to 442.04, 659.46 and 406.33

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Solution

The fourth proportional to 442.04, 659.46 and 406.33 is: 606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 659.46 = 406.33 : x
  2. Step 2: Convert to fraction form
    442.04/659.46 = 406.33/x
  3. Step 3: Cross multiply
    442.04x = 659.46 × 406.33
  4. Step 4: Simplify right side
    442.04x = 267,959.68
  5. Step 5: Solve for x
    x = 267,959.68/442.04
  6. Step 6: Final answer
    x = 606.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.