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Finding the Fourth Proportional to 947.88, 1,419.72 and 581.55

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Solution

The fourth proportional to 947.88, 1,419.72 and 581.55 is: 871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,419.72 = 581.55 : x
  2. Step 2: Convert to fraction form
    947.88/1,419.72 = 581.55/x
  3. Step 3: Cross multiply
    947.88x = 1,419.72 × 581.55
  4. Step 4: Simplify right side
    947.88x = 825,638.17
  5. Step 5: Solve for x
    x = 825,638.17/947.88
  6. Step 6: Final answer
    x = 871.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.