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Finding the Fourth Proportional to 896.34, 1,344.50 and 348.53

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Solution

The fourth proportional to 896.34, 1,344.50 and 348.53 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.34 : 1,344.50 = 348.53 : x
  2. Step 2: Convert to fraction form
    896.34/1,344.50 = 348.53/x
  3. Step 3: Cross multiply
    896.34x = 1,344.50 × 348.53
  4. Step 4: Simplify right side
    896.34x = 468,595.21
  5. Step 5: Solve for x
    x = 468,595.21/896.34
  6. Step 6: Final answer
    x = 522.79

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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.