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Finding the Fourth Proportional to 650.69, 976.28 and 390.88

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Solution

The fourth proportional to 650.69, 976.28 and 390.88 is: 586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.69 : 976.28 = 390.88 : x
  2. Step 2: Convert to fraction form
    650.69/976.28 = 390.88/x
  3. Step 3: Cross multiply
    650.69x = 976.28 × 390.88
  4. Step 4: Simplify right side
    650.69x = 381,608.33
  5. Step 5: Solve for x
    x = 381,608.33/650.69
  6. Step 6: Final answer
    x = 586.47

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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.