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Finding the Fourth Proportional to 650.29, 975.26 and 285.00

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Solution

The fourth proportional to 650.29, 975.26 and 285.00 is: 427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.29 : 975.26 = 285.00 : x
  2. Step 2: Convert to fraction form
    650.29/975.26 = 285.00/x
  3. Step 3: Cross multiply
    650.29x = 975.26 × 285.00
  4. Step 4: Simplify right side
    650.29x = 277,942.80
  5. Step 5: Solve for x
    x = 277,942.80/650.29
  6. Step 6: Final answer
    x = 427.41

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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.