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Finding the Fourth Proportional to 876.56, 1,207.87 and 743.37

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Solution

The fourth proportional to 876.56, 1,207.87 and 743.37 is: 1,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.56 : 1,207.87 = 743.37 : x
  2. Step 2: Convert to fraction form
    876.56/1,207.87 = 743.37/x
  3. Step 3: Cross multiply
    876.56x = 1,207.87 × 743.37
  4. Step 4: Simplify right side
    876.56x = 897,894.32
  5. Step 5: Solve for x
    x = 897,894.32/876.56
  6. Step 6: Final answer
    x = 1,024.34

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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.