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Finding the Fourth Proportional to 476.45, 714.47 and 281.84

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Solution

The fourth proportional to 476.45, 714.47 and 281.84 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.45 : 714.47 = 281.84 : x
  2. Step 2: Convert to fraction form
    476.45/714.47 = 281.84/x
  3. Step 3: Cross multiply
    476.45x = 714.47 × 281.84
  4. Step 4: Simplify right side
    476.45x = 201,366.22
  5. Step 5: Solve for x
    x = 201,366.22/476.45
  6. Step 6: Final answer
    x = 422.64

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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.