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Finding the Fourth Proportional to 947.72, 1,421.58 and 581.85

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Solution

The fourth proportional to 947.72, 1,421.58 and 581.85 is: 872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,421.58 = 581.85 : x
  2. Step 2: Convert to fraction form
    947.72/1,421.58 = 581.85/x
  3. Step 3: Cross multiply
    947.72x = 1,421.58 × 581.85
  4. Step 4: Simplify right side
    947.72x = 827,148.50
  5. Step 5: Solve for x
    x = 827,148.50/947.72
  6. Step 6: Final answer
    x = 872.78

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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.