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Finding the Fourth Proportional to 587.17, 810.25 and 321.59

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Solution

The fourth proportional to 587.17, 810.25 and 321.59 is: 443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.17 : 810.25 = 321.59 : x
  2. Step 2: Convert to fraction form
    587.17/810.25 = 321.59/x
  3. Step 3: Cross multiply
    587.17x = 810.25 × 321.59
  4. Step 4: Simplify right side
    587.17x = 260,564.25
  5. Step 5: Solve for x
    x = 260,564.25/587.17
  6. Step 6: Final answer
    x = 443.77

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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.