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Finding the Fourth Proportional to 599.22, 827.52 and 413.19

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Solution

The fourth proportional to 599.22, 827.52 and 413.19 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.22 : 827.52 = 413.19 : x
  2. Step 2: Convert to fraction form
    599.22/827.52 = 413.19/x
  3. Step 3: Cross multiply
    599.22x = 827.52 × 413.19
  4. Step 4: Simplify right side
    599.22x = 341,921.44
  5. Step 5: Solve for x
    x = 341,921.44/599.22
  6. Step 6: Final answer
    x = 570.61

Related Problems

Find fourth proportional to 299.61, 413.76 and 206.60
Half scale
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Double scale
Find fourth proportional to 600.22, 828.90 and 414.19
Similar ratio
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1.5x scale

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.