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Finding the Fourth Proportional to 768.08, 1,059.48 and 645.37

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Solution

The fourth proportional to 768.08, 1,059.48 and 645.37 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.08 : 1,059.48 = 645.37 : x
  2. Step 2: Convert to fraction form
    768.08/1,059.48 = 645.37/x
  3. Step 3: Cross multiply
    768.08x = 1,059.48 × 645.37
  4. Step 4: Simplify right side
    768.08x = 683,753.96
  5. Step 5: Solve for x
    x = 683,753.96/768.08
  6. Step 6: Final answer
    x = 890.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.