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Finding the Fourth Proportional to 512.81, 770.25 and 307.77

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Solution

The fourth proportional to 512.81, 770.25 and 307.77 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 770.25 = 307.77 : x
  2. Step 2: Convert to fraction form
    512.81/770.25 = 307.77/x
  3. Step 3: Cross multiply
    512.81x = 770.25 × 307.77
  4. Step 4: Simplify right side
    512.81x = 237,059.84
  5. Step 5: Solve for x
    x = 237,059.84/512.81
  6. Step 6: Final answer
    x = 462.28

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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.