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Finding the Fourth Proportional to 994.19, 1,488.18 and 684.23

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Solution

The fourth proportional to 994.19, 1,488.18 and 684.23 is: 1,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.19 : 1,488.18 = 684.23 : x
  2. Step 2: Convert to fraction form
    994.19/1,488.18 = 684.23/x
  3. Step 3: Cross multiply
    994.19x = 1,488.18 × 684.23
  4. Step 4: Simplify right side
    994.19x = 1,018,257.40
  5. Step 5: Solve for x
    x = 1,018,257.40/994.19
  6. Step 6: Final answer
    x = 1,024.21

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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.