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Finding the Fourth Proportional to 513.90, 767.66 and 511.47

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Solution

The fourth proportional to 513.90, 767.66 and 511.47 is: 764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 767.66 = 511.47 : x
  2. Step 2: Convert to fraction form
    513.90/767.66 = 511.47/x
  3. Step 3: Cross multiply
    513.90x = 767.66 × 511.47
  4. Step 4: Simplify right side
    513.90x = 392,632.50
  5. Step 5: Solve for x
    x = 392,632.50/513.90
  6. Step 6: Final answer
    x = 764.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.