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Finding the Fourth Proportional to 476.54, 714.36 and 378.80

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Solution

The fourth proportional to 476.54, 714.36 and 378.80 is: 567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.54 : 714.36 = 378.80 : x
  2. Step 2: Convert to fraction form
    476.54/714.36 = 378.80/x
  3. Step 3: Cross multiply
    476.54x = 714.36 × 378.80
  4. Step 4: Simplify right side
    476.54x = 270,599.57
  5. Step 5: Solve for x
    x = 270,599.57/476.54
  6. Step 6: Final answer
    x = 567.84

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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.