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Finding the Fourth Proportional to 550.02, 825.39 and 412.66

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Solution

The fourth proportional to 550.02, 825.39 and 412.66 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 825.39 = 412.66 : x
  2. Step 2: Convert to fraction form
    550.02/825.39 = 412.66/x
  3. Step 3: Cross multiply
    550.02x = 825.39 × 412.66
  4. Step 4: Simplify right side
    550.02x = 340,606.47
  5. Step 5: Solve for x
    x = 340,606.47/550.02
  6. Step 6: Final answer
    x = 619.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.