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Finding the Fourth Proportional to 513.81, 770.45 and 405.27

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Solution

The fourth proportional to 513.81, 770.45 and 405.27 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 770.45 = 405.27 : x
  2. Step 2: Convert to fraction form
    513.81/770.45 = 405.27/x
  3. Step 3: Cross multiply
    513.81x = 770.45 × 405.27
  4. Step 4: Simplify right side
    513.81x = 312,238.25
  5. Step 5: Solve for x
    x = 312,238.25/513.81
  6. Step 6: Final answer
    x = 607.69

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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.