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Finding the Fourth Proportional to 822.20, 1,233.18 and 274.37

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Solution

The fourth proportional to 822.20, 1,233.18 and 274.37 is: 411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,233.18 = 274.37 : x
  2. Step 2: Convert to fraction form
    822.20/1,233.18 = 274.37/x
  3. Step 3: Cross multiply
    822.20x = 1,233.18 × 274.37
  4. Step 4: Simplify right side
    822.20x = 338,347.60
  5. Step 5: Solve for x
    x = 338,347.60/822.20
  6. Step 6: Final answer
    x = 411.51

Related Problems

Find fourth proportional to 411.10, 616.59 and 137.19
Half scale
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Double scale
Find fourth proportional to 823.20, 1,234.68 and 275.37
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.