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Finding the Fourth Proportional to 822.17, 1,233.41 and 274.30

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Solution

The fourth proportional to 822.17, 1,233.41 and 274.30 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.17 : 1,233.41 = 274.30 : x
  2. Step 2: Convert to fraction form
    822.17/1,233.41 = 274.30/x
  3. Step 3: Cross multiply
    822.17x = 1,233.41 × 274.30
  4. Step 4: Simplify right side
    822.17x = 338,322.99
  5. Step 5: Solve for x
    x = 338,322.99/822.17
  6. Step 6: Final answer
    x = 411.50

Related Problems

Find fourth proportional to 411.09, 616.70 and 137.15
Half scale
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Double scale
Find fourth proportional to 823.17, 1,234.91 and 275.30
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.