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Finding the Fourth Proportional to 880.50, 1,214.37 and 645.33

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Solution

The fourth proportional to 880.50, 1,214.37 and 645.33 is: 890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.50 : 1,214.37 = 645.33 : x
  2. Step 2: Convert to fraction form
    880.50/1,214.37 = 645.33/x
  3. Step 3: Cross multiply
    880.50x = 1,214.37 × 645.33
  4. Step 4: Simplify right side
    880.50x = 783,669.39
  5. Step 5: Solve for x
    x = 783,669.39/880.50
  6. Step 6: Final answer
    x = 890.03

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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.