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Finding the Fourth Proportional to 946.69, 1,422.33 and 921.31

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Solution

The fourth proportional to 946.69, 1,422.33 and 921.31 is: 1,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,422.33 = 921.31 : x
  2. Step 2: Convert to fraction form
    946.69/1,422.33 = 921.31/x
  3. Step 3: Cross multiply
    946.69x = 1,422.33 × 921.31
  4. Step 4: Simplify right side
    946.69x = 1,310,406.85
  5. Step 5: Solve for x
    x = 1,310,406.85/946.69
  6. Step 6: Final answer
    x = 1,384.20

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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.