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Finding the Fourth Proportional to 408.58, 611.65 and 375.37

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Solution

The fourth proportional to 408.58, 611.65 and 375.37 is: 561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.58 : 611.65 = 375.37 : x
  2. Step 2: Convert to fraction form
    408.58/611.65 = 375.37/x
  3. Step 3: Cross multiply
    408.58x = 611.65 × 375.37
  4. Step 4: Simplify right side
    408.58x = 229,595.06
  5. Step 5: Solve for x
    x = 229,595.06/408.58
  6. Step 6: Final answer
    x = 561.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.