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Finding the Fourth Proportional to 650.75, 973.46 and 486.12

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Solution

The fourth proportional to 650.75, 973.46 and 486.12 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.75 : 973.46 = 486.12 : x
  2. Step 2: Convert to fraction form
    650.75/973.46 = 486.12/x
  3. Step 3: Cross multiply
    650.75x = 973.46 × 486.12
  4. Step 4: Simplify right side
    650.75x = 473,211.08
  5. Step 5: Solve for x
    x = 473,211.08/650.75
  6. Step 6: Final answer
    x = 727.18

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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.