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Finding the Fourth Proportional to 650.35, 975.66 and 285.18

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Solution

The fourth proportional to 650.35, 975.66 and 285.18 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 975.66 = 285.18 : x
  2. Step 2: Convert to fraction form
    650.35/975.66 = 285.18/x
  3. Step 3: Cross multiply
    650.35x = 975.66 × 285.18
  4. Step 4: Simplify right side
    650.35x = 278,238.72
  5. Step 5: Solve for x
    x = 278,238.72/650.35
  6. Step 6: Final answer
    x = 427.83

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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.