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Finding the Fourth Proportional to 550.40, 822.46 and 395.60

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Solution

The fourth proportional to 550.40, 822.46 and 395.60 is: 591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 822.46 = 395.60 : x
  2. Step 2: Convert to fraction form
    550.40/822.46 = 395.60/x
  3. Step 3: Cross multiply
    550.40x = 822.46 × 395.60
  4. Step 4: Simplify right side
    550.40x = 325,365.18
  5. Step 5: Solve for x
    x = 325,365.18/550.40
  6. Step 6: Final answer
    x = 591.14

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1.5x scale

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.