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Finding the Fourth Proportional to 513.20, 742.70 and 513.20

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Solution

The fourth proportional to 513.20, 742.70 and 513.20 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 742.70 = 513.20 : x
  2. Step 2: Convert to fraction form
    513.20/742.70 = 513.20/x
  3. Step 3: Cross multiply
    513.20x = 742.70 × 513.20
  4. Step 4: Simplify right side
    513.20x = 381,153.64
  5. Step 5: Solve for x
    x = 381,153.64/513.20
  6. Step 6: Final answer
    x = 742.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.