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Finding the Fourth Proportional to 823.12, 1,234.64 and 275.68

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Solution

The fourth proportional to 823.12, 1,234.64 and 275.68 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.12 : 1,234.64 = 275.68 : x
  2. Step 2: Convert to fraction form
    823.12/1,234.64 = 275.68/x
  3. Step 3: Cross multiply
    823.12x = 1,234.64 × 275.68
  4. Step 4: Simplify right side
    823.12x = 340,365.56
  5. Step 5: Solve for x
    x = 340,365.56/823.12
  6. Step 6: Final answer
    x = 413.51

Related Problems

Find fourth proportional to 411.56, 617.32 and 137.84
Half scale
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Double scale
Find fourth proportional to 824.12, 1,236.14 and 276.68
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.