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Finding the Fourth Proportional to 822.90, 1,234.21 and 411.60

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Solution

The fourth proportional to 822.90, 1,234.21 and 411.60 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.90 : 1,234.21 = 411.60 : x
  2. Step 2: Convert to fraction form
    822.90/1,234.21 = 411.60/x
  3. Step 3: Cross multiply
    822.90x = 1,234.21 × 411.60
  4. Step 4: Simplify right side
    822.90x = 508,000.84
  5. Step 5: Solve for x
    x = 508,000.84/822.90
  6. Step 6: Final answer
    x = 617.33

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.