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Finding the Fourth Proportional to 514.13, 770.63 and 201.69

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Solution

The fourth proportional to 514.13, 770.63 and 201.69 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 770.63 = 201.69 : x
  2. Step 2: Convert to fraction form
    514.13/770.63 = 201.69/x
  3. Step 3: Cross multiply
    514.13x = 770.63 × 201.69
  4. Step 4: Simplify right side
    514.13x = 155,428.36
  5. Step 5: Solve for x
    x = 155,428.36/514.13
  6. Step 6: Final answer
    x = 302.31

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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.