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Finding the Fourth Proportional to 653.56, 980.26 and 263.54

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Solution

The fourth proportional to 653.56, 980.26 and 263.54 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.56 : 980.26 = 263.54 : x
  2. Step 2: Convert to fraction form
    653.56/980.26 = 263.54/x
  3. Step 3: Cross multiply
    653.56x = 980.26 × 263.54
  4. Step 4: Simplify right side
    653.56x = 258,339.51
  5. Step 5: Solve for x
    x = 258,339.51/653.56
  6. Step 6: Final answer
    x = 395.28

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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.