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Finding the Fourth Proportional to 876.14, 1,208.39 and 561.43

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Solution

The fourth proportional to 876.14, 1,208.39 and 561.43 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.14 : 1,208.39 = 561.43 : x
  2. Step 2: Convert to fraction form
    876.14/1,208.39 = 561.43/x
  3. Step 3: Cross multiply
    876.14x = 1,208.39 × 561.43
  4. Step 4: Simplify right side
    876.14x = 678,422.84
  5. Step 5: Solve for x
    x = 678,422.84/876.14
  6. Step 6: Final answer
    x = 774.33

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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.