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Finding the Fourth Proportional to 876.14, 1,209.09 and 577.05

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Solution

The fourth proportional to 876.14, 1,209.09 and 577.05 is: 796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.14 : 1,209.09 = 577.05 : x
  2. Step 2: Convert to fraction form
    876.14/1,209.09 = 577.05/x
  3. Step 3: Cross multiply
    876.14x = 1,209.09 × 577.05
  4. Step 4: Simplify right side
    876.14x = 697,705.38
  5. Step 5: Solve for x
    x = 697,705.38/876.14
  6. Step 6: Final answer
    x = 796.34

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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.