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Finding the Fourth Proportional to 400.61, 596.81 and 385.92

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Solution

The fourth proportional to 400.61, 596.81 and 385.92 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.61 : 596.81 = 385.92 : x
  2. Step 2: Convert to fraction form
    400.61/596.81 = 385.92/x
  3. Step 3: Cross multiply
    400.61x = 596.81 × 385.92
  4. Step 4: Simplify right side
    400.61x = 230,320.92
  5. Step 5: Solve for x
    x = 230,320.92/400.61
  6. Step 6: Final answer
    x = 574.93

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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.