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Finding the Fourth Proportional to 896.15, 1,344.12 and 347.96

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Solution

The fourth proportional to 896.15, 1,344.12 and 347.96 is: 521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.15 : 1,344.12 = 347.96 : x
  2. Step 2: Convert to fraction form
    896.15/1,344.12 = 347.96/x
  3. Step 3: Cross multiply
    896.15x = 1,344.12 × 347.96
  4. Step 4: Simplify right side
    896.15x = 467,700.00
  5. Step 5: Solve for x
    x = 467,700.00/896.15
  6. Step 6: Final answer
    x = 521.90

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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.