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Finding the Fourth Proportional to 885.78, 1,222.09 and 633.50

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Solution

The fourth proportional to 885.78, 1,222.09 and 633.50 is: 874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.78 : 1,222.09 = 633.50 : x
  2. Step 2: Convert to fraction form
    885.78/1,222.09 = 633.50/x
  3. Step 3: Cross multiply
    885.78x = 1,222.09 × 633.50
  4. Step 4: Simplify right side
    885.78x = 774,194.02
  5. Step 5: Solve for x
    x = 774,194.02/885.78
  6. Step 6: Final answer
    x = 874.03

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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.