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Finding the Fourth Proportional to 650.19, 975.79 and 285.23

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Solution

The fourth proportional to 650.19, 975.79 and 285.23 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.19 : 975.79 = 285.23 : x
  2. Step 2: Convert to fraction form
    650.19/975.79 = 285.23/x
  3. Step 3: Cross multiply
    650.19x = 975.79 × 285.23
  4. Step 4: Simplify right side
    650.19x = 278,319.70
  5. Step 5: Solve for x
    x = 278,319.70/650.19
  6. Step 6: Final answer
    x = 428.06

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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.