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Finding the Fourth Proportional to 852.37, 1,277.72 and 413.45

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Solution

The fourth proportional to 852.37, 1,277.72 and 413.45 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.37 : 1,277.72 = 413.45 : x
  2. Step 2: Convert to fraction form
    852.37/1,277.72 = 413.45/x
  3. Step 3: Cross multiply
    852.37x = 1,277.72 × 413.45
  4. Step 4: Simplify right side
    852.37x = 528,280.73
  5. Step 5: Solve for x
    x = 528,280.73/852.37
  6. Step 6: Final answer
    x = 619.78

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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.