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Finding the Fourth Proportional to 994.02, 1,490.81 and 408.45

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Solution

The fourth proportional to 994.02, 1,490.81 and 408.45 is: 612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.02 : 1,490.81 = 408.45 : x
  2. Step 2: Convert to fraction form
    994.02/1,490.81 = 408.45/x
  3. Step 3: Cross multiply
    994.02x = 1,490.81 × 408.45
  4. Step 4: Simplify right side
    994.02x = 608,921.34
  5. Step 5: Solve for x
    x = 608,921.34/994.02
  6. Step 6: Final answer
    x = 612.58

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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.