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Finding the Fourth Proportional to 513.44, 775.08 and 510.56

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Solution

The fourth proportional to 513.44, 775.08 and 510.56 is: 770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 775.08 = 510.56 : x
  2. Step 2: Convert to fraction form
    513.44/775.08 = 510.56/x
  3. Step 3: Cross multiply
    513.44x = 775.08 × 510.56
  4. Step 4: Simplify right side
    513.44x = 395,724.84
  5. Step 5: Solve for x
    x = 395,724.84/513.44
  6. Step 6: Final answer
    x = 770.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.