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Finding the Fourth Proportional to 483.04, 667.07 and 412.69

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Solution

The fourth proportional to 483.04, 667.07 and 412.69 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.04 : 667.07 = 412.69 : x
  2. Step 2: Convert to fraction form
    483.04/667.07 = 412.69/x
  3. Step 3: Cross multiply
    483.04x = 667.07 × 412.69
  4. Step 4: Simplify right side
    483.04x = 275,287.72
  5. Step 5: Solve for x
    x = 275,287.72/483.04
  6. Step 6: Final answer
    x = 569.91

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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.