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Finding the Fourth Proportional to 408.77, 566.77 and 386.90

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Solution

The fourth proportional to 408.77, 566.77 and 386.90 is: 536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.77 : 566.77 = 386.90 : x
  2. Step 2: Convert to fraction form
    408.77/566.77 = 386.90/x
  3. Step 3: Cross multiply
    408.77x = 566.77 × 386.90
  4. Step 4: Simplify right side
    408.77x = 219,281.38
  5. Step 5: Solve for x
    x = 219,281.38/408.77
  6. Step 6: Final answer
    x = 536.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.