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Finding the Fourth Proportional to 994.32, 1,490 and 681.57

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Solution

The fourth proportional to 994.32, 1,490 and 681.57 is: 1,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.32 : 1,490 = 681.57 : x
  2. Step 2: Convert to fraction form
    994.32/1,490 = 681.57/x
  3. Step 3: Cross multiply
    994.32x = 1,490 × 681.57
  4. Step 4: Simplify right side
    994.32x = 1,015,539.30
  5. Step 5: Solve for x
    x = 1,015,539.30/994.32
  6. Step 6: Final answer
    x = 1,021.34

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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.