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Finding the Fourth Proportional to 476.30, 714.48 and 347.78

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Solution

The fourth proportional to 476.30, 714.48 and 347.78 is: 521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.30 : 714.48 = 347.78 : x
  2. Step 2: Convert to fraction form
    476.30/714.48 = 347.78/x
  3. Step 3: Cross multiply
    476.30x = 714.48 × 347.78
  4. Step 4: Simplify right side
    476.30x = 248,481.85
  5. Step 5: Solve for x
    x = 248,481.85/476.30
  6. Step 6: Final answer
    x = 521.69

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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.