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Finding the Fourth Proportional to 1,213.64, 1,820.96 and 823.40

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Solution

The fourth proportional to 1,213.64, 1,820.96 and 823.40 is: 1,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.64 : 1,820.96 = 823.40 : x
  2. Step 2: Convert to fraction form
    1,213.64/1,820.96 = 823.40/x
  3. Step 3: Cross multiply
    1,213.64x = 1,820.96 × 823.40
  4. Step 4: Simplify right side
    1,213.64x = 1,499,378.46
  5. Step 5: Solve for x
    x = 1,499,378.46/1,213.64
  6. Step 6: Final answer
    x = 1,235.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.