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Finding the Fourth Proportional to 514.06, 769.58 and 340.40

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Solution

The fourth proportional to 514.06, 769.58 and 340.40 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.06 : 769.58 = 340.40 : x
  2. Step 2: Convert to fraction form
    514.06/769.58 = 340.40/x
  3. Step 3: Cross multiply
    514.06x = 769.58 × 340.40
  4. Step 4: Simplify right side
    514.06x = 261,965.03
  5. Step 5: Solve for x
    x = 261,965.03/514.06
  6. Step 6: Final answer
    x = 509.60

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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.