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Finding the Fourth Proportional to 587.26, 810.42 and 321.72

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Solution

The fourth proportional to 587.26, 810.42 and 321.72 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.26 : 810.42 = 321.72 : x
  2. Step 2: Convert to fraction form
    587.26/810.42 = 321.72/x
  3. Step 3: Cross multiply
    587.26x = 810.42 × 321.72
  4. Step 4: Simplify right side
    587.26x = 260,726.12
  5. Step 5: Solve for x
    x = 260,726.12/587.26
  6. Step 6: Final answer
    x = 443.97

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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.