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Finding the Fourth Proportional to 822.12, 1,232.40 and 273.84

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Solution

The fourth proportional to 822.12, 1,232.40 and 273.84 is: 410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,232.40 = 273.84 : x
  2. Step 2: Convert to fraction form
    822.12/1,232.40 = 273.84/x
  3. Step 3: Cross multiply
    822.12x = 1,232.40 × 273.84
  4. Step 4: Simplify right side
    822.12x = 337,480.42
  5. Step 5: Solve for x
    x = 337,480.42/822.12
  6. Step 6: Final answer
    x = 410.50

Related Problems

Find fourth proportional to 411.06, 616.20 and 136.92
Half scale
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Double scale
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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.