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Finding the Fourth Proportional to 653.44, 980.64 and 345.28

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Solution

The fourth proportional to 653.44, 980.64 and 345.28 is: 518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.44 : 980.64 = 345.28 : x
  2. Step 2: Convert to fraction form
    653.44/980.64 = 345.28/x
  3. Step 3: Cross multiply
    653.44x = 980.64 × 345.28
  4. Step 4: Simplify right side
    653.44x = 338,595.38
  5. Step 5: Solve for x
    x = 338,595.38/653.44
  6. Step 6: Final answer
    x = 518.17

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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.