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Finding the Fourth Proportional to 994.52, 1,491.56 and 408.95

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Solution

The fourth proportional to 994.52, 1,491.56 and 408.95 is: 613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.52 : 1,491.56 = 408.95 : x
  2. Step 2: Convert to fraction form
    994.52/1,491.56 = 408.95/x
  3. Step 3: Cross multiply
    994.52x = 1,491.56 × 408.95
  4. Step 4: Simplify right side
    994.52x = 609,973.46
  5. Step 5: Solve for x
    x = 609,973.46/994.52
  6. Step 6: Final answer
    x = 613.33

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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.