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Finding the Fourth Proportional to 511.21, 770.72 and 475.98

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Solution

The fourth proportional to 511.21, 770.72 and 475.98 is: 717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.21 : 770.72 = 475.98 : x
  2. Step 2: Convert to fraction form
    511.21/770.72 = 475.98/x
  3. Step 3: Cross multiply
    511.21x = 770.72 × 475.98
  4. Step 4: Simplify right side
    511.21x = 366,842.04
  5. Step 5: Solve for x
    x = 366,842.04/511.21
  6. Step 6: Final answer
    x = 717.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.