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Finding the Fourth Proportional to 946.75, 1,420.37 and 330.45

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Solution

The fourth proportional to 946.75, 1,420.37 and 330.45 is: 495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.75 : 1,420.37 = 330.45 : x
  2. Step 2: Convert to fraction form
    946.75/1,420.37 = 330.45/x
  3. Step 3: Cross multiply
    946.75x = 1,420.37 × 330.45
  4. Step 4: Simplify right side
    946.75x = 469,352.51
  5. Step 5: Solve for x
    x = 469,352.51/946.75
  6. Step 6: Final answer
    x = 495.75

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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.