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Finding the Fourth Proportional to 587.13, 810.37 and 338.59

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Solution

The fourth proportional to 587.13, 810.37 and 338.59 is: 467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.13 : 810.37 = 338.59 : x
  2. Step 2: Convert to fraction form
    587.13/810.37 = 338.59/x
  3. Step 3: Cross multiply
    587.13x = 810.37 × 338.59
  4. Step 4: Simplify right side
    587.13x = 274,383.18
  5. Step 5: Solve for x
    x = 274,383.18/587.13
  6. Step 6: Final answer
    x = 467.33

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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.