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Finding the Fourth Proportional to 823.42, 1,235.35 and 275.61

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Solution

The fourth proportional to 823.42, 1,235.35 and 275.61 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.42 : 1,235.35 = 275.61 : x
  2. Step 2: Convert to fraction form
    823.42/1,235.35 = 275.61/x
  3. Step 3: Cross multiply
    823.42x = 1,235.35 × 275.61
  4. Step 4: Simplify right side
    823.42x = 340,474.81
  5. Step 5: Solve for x
    x = 340,474.81/823.42
  6. Step 6: Final answer
    x = 413.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 824.42, 1,236.85 and 276.61
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.