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Finding the Fourth Proportional to 994.34, 1,491.90 and 378.21

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Solution

The fourth proportional to 994.34, 1,491.90 and 378.21 is: 567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.34 : 1,491.90 = 378.21 : x
  2. Step 2: Convert to fraction form
    994.34/1,491.90 = 378.21/x
  3. Step 3: Cross multiply
    994.34x = 1,491.90 × 378.21
  4. Step 4: Simplify right side
    994.34x = 564,251.50
  5. Step 5: Solve for x
    x = 564,251.50/994.34
  6. Step 6: Final answer
    x = 567.46

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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.