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Finding the Fourth Proportional to 946.14, 1,294.44 and 942.03

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Solution

The fourth proportional to 946.14, 1,294.44 and 942.03 is: 1,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.14 : 1,294.44 = 942.03 : x
  2. Step 2: Convert to fraction form
    946.14/1,294.44 = 942.03/x
  3. Step 3: Cross multiply
    946.14x = 1,294.44 × 942.03
  4. Step 4: Simplify right side
    946.14x = 1,219,401.31
  5. Step 5: Solve for x
    x = 1,219,401.31/946.14
  6. Step 6: Final answer
    x = 1,288.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.