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Finding the Fourth Proportional to 476.51, 714.48 and 311.78

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Solution

The fourth proportional to 476.51, 714.48 and 311.78 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.51 : 714.48 = 311.78 : x
  2. Step 2: Convert to fraction form
    476.51/714.48 = 311.78/x
  3. Step 3: Cross multiply
    476.51x = 714.48 × 311.78
  4. Step 4: Simplify right side
    476.51x = 222,759.90
  5. Step 5: Solve for x
    x = 222,759.90/476.51
  6. Step 6: Final answer
    x = 467.48

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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.