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Finding the Fourth Proportional to 514.62, 770.31 and 341.28

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Solution

The fourth proportional to 514.62, 770.31 and 341.28 is: 510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 770.31 = 341.28 : x
  2. Step 2: Convert to fraction form
    514.62/770.31 = 341.28/x
  3. Step 3: Cross multiply
    514.62x = 770.31 × 341.28
  4. Step 4: Simplify right side
    514.62x = 262,891.40
  5. Step 5: Solve for x
    x = 262,891.40/514.62
  6. Step 6: Final answer
    x = 510.85

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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.