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Finding the Fourth Proportional to 1,096.79, 1,645.93 and 480.14

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Solution

The fourth proportional to 1,096.79, 1,645.93 and 480.14 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.79 : 1,645.93 = 480.14 : x
  2. Step 2: Convert to fraction form
    1,096.79/1,645.93 = 480.14/x
  3. Step 3: Cross multiply
    1,096.79x = 1,645.93 × 480.14
  4. Step 4: Simplify right side
    1,096.79x = 790,279.74
  5. Step 5: Solve for x
    x = 790,279.74/1,096.79
  6. Step 6: Final answer
    x = 720.54

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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.