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Finding the Fourth Proportional to 882.10, 1,217.54 and 550.33

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Solution

The fourth proportional to 882.10, 1,217.54 and 550.33 is: 759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.10 : 1,217.54 = 550.33 : x
  2. Step 2: Convert to fraction form
    882.10/1,217.54 = 550.33/x
  3. Step 3: Cross multiply
    882.10x = 1,217.54 × 550.33
  4. Step 4: Simplify right side
    882.10x = 670,047.95
  5. Step 5: Solve for x
    x = 670,047.95/882.10
  6. Step 6: Final answer
    x = 759.60

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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.