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Finding the Fourth Proportional to 581.61, 871.73 and 321.77

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Solution

The fourth proportional to 581.61, 871.73 and 321.77 is: 482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.61 : 871.73 = 321.77 : x
  2. Step 2: Convert to fraction form
    581.61/871.73 = 321.77/x
  3. Step 3: Cross multiply
    581.61x = 871.73 × 321.77
  4. Step 4: Simplify right side
    581.61x = 280,490.59
  5. Step 5: Solve for x
    x = 280,490.59/581.61
  6. Step 6: Final answer
    x = 482.27

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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.