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Finding the Fourth Proportional to 823.41, 1,235.12 and 275.67

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Solution

The fourth proportional to 823.41, 1,235.12 and 275.67 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.41 : 1,235.12 = 275.67 : x
  2. Step 2: Convert to fraction form
    823.41/1,235.12 = 275.67/x
  3. Step 3: Cross multiply
    823.41x = 1,235.12 × 275.67
  4. Step 4: Simplify right side
    823.41x = 340,484.15
  5. Step 5: Solve for x
    x = 340,484.15/823.41
  6. Step 6: Final answer
    x = 413.51

Related Problems

Find fourth proportional to 411.71, 617.56 and 137.84
Half scale
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Double scale
Find fourth proportional to 824.41, 1,236.62 and 276.67
Similar ratio
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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.