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Finding the Fourth Proportional to 386.34, 575.78 and 385.74

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Solution

The fourth proportional to 386.34, 575.78 and 385.74 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 575.78 = 385.74 : x
  2. Step 2: Convert to fraction form
    386.34/575.78 = 385.74/x
  3. Step 3: Cross multiply
    386.34x = 575.78 × 385.74
  4. Step 4: Simplify right side
    386.34x = 222,101.38
  5. Step 5: Solve for x
    x = 222,101.38/386.34
  6. Step 6: Final answer
    x = 574.89

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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.