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Finding the Fourth Proportional to 400.56, 601.85 and 384.36

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Solution

The fourth proportional to 400.56, 601.85 and 384.36 is: 577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.56 : 601.85 = 384.36 : x
  2. Step 2: Convert to fraction form
    400.56/601.85 = 384.36/x
  3. Step 3: Cross multiply
    400.56x = 601.85 × 384.36
  4. Step 4: Simplify right side
    400.56x = 231,328.03
  5. Step 5: Solve for x
    x = 231,328.03/400.56
  6. Step 6: Final answer
    x = 577.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.