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Finding the Fourth Proportional to 514.09, 770.85 and 340.63

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Solution

The fourth proportional to 514.09, 770.85 and 340.63 is: 510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.09 : 770.85 = 340.63 : x
  2. Step 2: Convert to fraction form
    514.09/770.85 = 340.63/x
  3. Step 3: Cross multiply
    514.09x = 770.85 × 340.63
  4. Step 4: Simplify right side
    514.09x = 262,574.64
  5. Step 5: Solve for x
    x = 262,574.64/514.09
  6. Step 6: Final answer
    x = 510.76

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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.