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Finding the Fourth Proportional to 400.48, 596.62 and 385.78

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Solution

The fourth proportional to 400.48, 596.62 and 385.78 is: 574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 596.62 = 385.78 : x
  2. Step 2: Convert to fraction form
    400.48/596.62 = 385.78/x
  3. Step 3: Cross multiply
    400.48x = 596.62 × 385.78
  4. Step 4: Simplify right side
    400.48x = 230,164.06
  5. Step 5: Solve for x
    x = 230,164.06/400.48
  6. Step 6: Final answer
    x = 574.72

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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.