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Finding the Fourth Proportional to 822.70, 1,234.20 and 274.78

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Solution

The fourth proportional to 822.70, 1,234.20 and 274.78 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.70 : 1,234.20 = 274.78 : x
  2. Step 2: Convert to fraction form
    822.70/1,234.20 = 274.78/x
  3. Step 3: Cross multiply
    822.70x = 1,234.20 × 274.78
  4. Step 4: Simplify right side
    822.70x = 339,133.48
  5. Step 5: Solve for x
    x = 339,133.48/822.70
  6. Step 6: Final answer
    x = 412.22

Related Problems

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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.