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Finding the Fourth Proportional to 387.55, 577.04 and 385.73

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Solution

The fourth proportional to 387.55, 577.04 and 385.73 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.55 : 577.04 = 385.73 : x
  2. Step 2: Convert to fraction form
    387.55/577.04 = 385.73/x
  3. Step 3: Cross multiply
    387.55x = 577.04 × 385.73
  4. Step 4: Simplify right side
    387.55x = 222,581.64
  5. Step 5: Solve for x
    x = 222,581.64/387.55
  6. Step 6: Final answer
    x = 574.33

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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.