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Finding the Fourth Proportional to 946.98, 1,418.49 and 763.38

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Solution

The fourth proportional to 946.98, 1,418.49 and 763.38 is: 1,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.98 : 1,418.49 = 763.38 : x
  2. Step 2: Convert to fraction form
    946.98/1,418.49 = 763.38/x
  3. Step 3: Cross multiply
    946.98x = 1,418.49 × 763.38
  4. Step 4: Simplify right side
    946.98x = 1,082,846.90
  5. Step 5: Solve for x
    x = 1,082,846.90/946.98
  6. Step 6: Final answer
    x = 1,143.47

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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.