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Finding the Fourth Proportional to 408.42, 608.50 and 387.77

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Solution

The fourth proportional to 408.42, 608.50 and 387.77 is: 577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 608.50 = 387.77 : x
  2. Step 2: Convert to fraction form
    408.42/608.50 = 387.77/x
  3. Step 3: Cross multiply
    408.42x = 608.50 × 387.77
  4. Step 4: Simplify right side
    408.42x = 235,955.49
  5. Step 5: Solve for x
    x = 235,955.49/408.42
  6. Step 6: Final answer
    x = 577.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.