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Finding the Fourth Proportional to 650.86, 976.52 and 407.10

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Solution

The fourth proportional to 650.86, 976.52 and 407.10 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.86 : 976.52 = 407.10 : x
  2. Step 2: Convert to fraction form
    650.86/976.52 = 407.10/x
  3. Step 3: Cross multiply
    650.86x = 976.52 × 407.10
  4. Step 4: Simplify right side
    650.86x = 397,534.37
  5. Step 5: Solve for x
    x = 397,534.37/650.86
  6. Step 6: Final answer
    x = 610.78

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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.