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Finding the Fourth Proportional to 946.80, 1,420.96 and 369.84

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Solution

The fourth proportional to 946.80, 1,420.96 and 369.84 is: 555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.80 : 1,420.96 = 369.84 : x
  2. Step 2: Convert to fraction form
    946.80/1,420.96 = 369.84/x
  3. Step 3: Cross multiply
    946.80x = 1,420.96 × 369.84
  4. Step 4: Simplify right side
    946.80x = 525,527.85
  5. Step 5: Solve for x
    x = 525,527.85/946.80
  6. Step 6: Final answer
    x = 555.06

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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.