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Finding the Fourth Proportional to 550.55, 824.87 and 413.39

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Solution

The fourth proportional to 550.55, 824.87 and 413.39 is: 619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.55 : 824.87 = 413.39 : x
  2. Step 2: Convert to fraction form
    550.55/824.87 = 413.39/x
  3. Step 3: Cross multiply
    550.55x = 824.87 × 413.39
  4. Step 4: Simplify right side
    550.55x = 340,986.82
  5. Step 5: Solve for x
    x = 340,986.82/550.55
  6. Step 6: Final answer
    x = 619.36

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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.