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Finding the Fourth Proportional to 587.12, 810.21 and 321.56

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Solution

The fourth proportional to 587.12, 810.21 and 321.56 is: 443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.12 : 810.21 = 321.56 : x
  2. Step 2: Convert to fraction form
    587.12/810.21 = 321.56/x
  3. Step 3: Cross multiply
    587.12x = 810.21 × 321.56
  4. Step 4: Simplify right side
    587.12x = 260,527.88
  5. Step 5: Solve for x
    x = 260,527.88/587.12
  6. Step 6: Final answer
    x = 443.74

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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.