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Finding the Fourth Proportional to 946.75, 1,420.10 and 667.95

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Solution

The fourth proportional to 946.75, 1,420.10 and 667.95 is: 1,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.75 : 1,420.10 = 667.95 : x
  2. Step 2: Convert to fraction form
    946.75/1,420.10 = 667.95/x
  3. Step 3: Cross multiply
    946.75x = 1,420.10 × 667.95
  4. Step 4: Simplify right side
    946.75x = 948,555.80
  5. Step 5: Solve for x
    x = 948,555.80/946.75
  6. Step 6: Final answer
    x = 1,001.91

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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.