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Finding the Fourth Proportional to 934.20, 1,400.04 and 446.18

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Solution

The fourth proportional to 934.20, 1,400.04 and 446.18 is: 668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.20 : 1,400.04 = 446.18 : x
  2. Step 2: Convert to fraction form
    934.20/1,400.04 = 446.18/x
  3. Step 3: Cross multiply
    934.20x = 1,400.04 × 446.18
  4. Step 4: Simplify right side
    934.20x = 624,662.85
  5. Step 5: Solve for x
    x = 624,662.85/934.20
  6. Step 6: Final answer
    x = 668.66

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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.