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Finding the Fourth Proportional to 650.81, 975.89 and 285.29

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Solution

The fourth proportional to 650.81, 975.89 and 285.29 is: 427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.81 : 975.89 = 285.29 : x
  2. Step 2: Convert to fraction form
    650.81/975.89 = 285.29/x
  3. Step 3: Cross multiply
    650.81x = 975.89 × 285.29
  4. Step 4: Simplify right side
    650.81x = 278,405.35
  5. Step 5: Solve for x
    x = 278,405.35/650.81
  6. Step 6: Final answer
    x = 427.79

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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.