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Finding the Fourth Proportional to 587.42, 810.74 and 338.78

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Solution

The fourth proportional to 587.42, 810.74 and 338.78 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.42 : 810.74 = 338.78 : x
  2. Step 2: Convert to fraction form
    587.42/810.74 = 338.78/x
  3. Step 3: Cross multiply
    587.42x = 810.74 × 338.78
  4. Step 4: Simplify right side
    587.42x = 274,665.37
  5. Step 5: Solve for x
    x = 274,665.37/587.42
  6. Step 6: Final answer
    x = 467.58

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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.