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Finding the Fourth Proportional to 947.96, 1,420.39 and 581.98

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Solution

The fourth proportional to 947.96, 1,420.39 and 581.98 is: 872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.96 : 1,420.39 = 581.98 : x
  2. Step 2: Convert to fraction form
    947.96/1,420.39 = 581.98/x
  3. Step 3: Cross multiply
    947.96x = 1,420.39 × 581.98
  4. Step 4: Simplify right side
    947.96x = 826,638.57
  5. Step 5: Solve for x
    x = 826,638.57/947.96
  6. Step 6: Final answer
    x = 872.02

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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.