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Finding the Fourth Proportional to 650.54, 976.58 and 513.68

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Solution

The fourth proportional to 650.54, 976.58 and 513.68 is: 771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 976.58 = 513.68 : x
  2. Step 2: Convert to fraction form
    650.54/976.58 = 513.68/x
  3. Step 3: Cross multiply
    650.54x = 976.58 × 513.68
  4. Step 4: Simplify right side
    650.54x = 501,647.05
  5. Step 5: Solve for x
    x = 501,647.05/650.54
  6. Step 6: Final answer
    x = 771.12

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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.