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Finding the Fourth Proportional to 653.78, 980.75 and 268.98

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Solution

The fourth proportional to 653.78, 980.75 and 268.98 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 980.75 = 268.98 : x
  2. Step 2: Convert to fraction form
    653.78/980.75 = 268.98/x
  3. Step 3: Cross multiply
    653.78x = 980.75 × 268.98
  4. Step 4: Simplify right side
    653.78x = 263,802.14
  5. Step 5: Solve for x
    x = 263,802.14/653.78
  6. Step 6: Final answer
    x = 403.50

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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.