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Finding the Fourth Proportional to 513.12, 770.60 and 298.07

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Solution

The fourth proportional to 513.12, 770.60 and 298.07 is: 447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 770.60 = 298.07 : x
  2. Step 2: Convert to fraction form
    513.12/770.60 = 298.07/x
  3. Step 3: Cross multiply
    513.12x = 770.60 × 298.07
  4. Step 4: Simplify right side
    513.12x = 229,692.74
  5. Step 5: Solve for x
    x = 229,692.74/513.12
  6. Step 6: Final answer
    x = 447.64

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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.