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Finding the Fourth Proportional to 876.38, 1,208.22 and 751.50

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Solution

The fourth proportional to 876.38, 1,208.22 and 751.50 is: 1,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 1,208.22 = 751.50 : x
  2. Step 2: Convert to fraction form
    876.38/1,208.22 = 751.50/x
  3. Step 3: Cross multiply
    876.38x = 1,208.22 × 751.50
  4. Step 4: Simplify right side
    876.38x = 907,977.33
  5. Step 5: Solve for x
    x = 907,977.33/876.38
  6. Step 6: Final answer
    x = 1,036.05

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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.