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Finding the Fourth Proportional to 514.70, 770.70 and 405.80

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Solution

The fourth proportional to 514.70, 770.70 and 405.80 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.70 : 770.70 = 405.80 : x
  2. Step 2: Convert to fraction form
    514.70/770.70 = 405.80/x
  3. Step 3: Cross multiply
    514.70x = 770.70 × 405.80
  4. Step 4: Simplify right side
    514.70x = 312,750.06
  5. Step 5: Solve for x
    x = 312,750.06/514.70
  6. Step 6: Final answer
    x = 607.64

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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.