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Finding the Fourth Proportional to 776.82, 1,073.49 and 645.60

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Solution

The fourth proportional to 776.82, 1,073.49 and 645.60 is: 892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.82 : 1,073.49 = 645.60 : x
  2. Step 2: Convert to fraction form
    776.82/1,073.49 = 645.60/x
  3. Step 3: Cross multiply
    776.82x = 1,073.49 × 645.60
  4. Step 4: Simplify right side
    776.82x = 693,045.14
  5. Step 5: Solve for x
    x = 693,045.14/776.82
  6. Step 6: Final answer
    x = 892.16

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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.