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Finding the Fourth Proportional to 513.47, 767.91 and 456.06

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Solution

The fourth proportional to 513.47, 767.91 and 456.06 is: 682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.47 : 767.91 = 456.06 : x
  2. Step 2: Convert to fraction form
    513.47/767.91 = 456.06/x
  3. Step 3: Cross multiply
    513.47x = 767.91 × 456.06
  4. Step 4: Simplify right side
    513.47x = 350,213.03
  5. Step 5: Solve for x
    x = 350,213.03/513.47
  6. Step 6: Final answer
    x = 682.06

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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.