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Finding the Fourth Proportional to 400.83, 598.52 and 378.05

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Solution

The fourth proportional to 400.83, 598.52 and 378.05 is: 564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.83 : 598.52 = 378.05 : x
  2. Step 2: Convert to fraction form
    400.83/598.52 = 378.05/x
  3. Step 3: Cross multiply
    400.83x = 598.52 × 378.05
  4. Step 4: Simplify right side
    400.83x = 226,265.60
  5. Step 5: Solve for x
    x = 226,265.60/400.83
  6. Step 6: Final answer
    x = 564.49

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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.