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Finding the Fourth Proportional to 433.03, 646.39 and 378.35

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Solution

The fourth proportional to 433.03, 646.39 and 378.35 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.03 : 646.39 = 378.35 : x
  2. Step 2: Convert to fraction form
    433.03/646.39 = 378.35/x
  3. Step 3: Cross multiply
    433.03x = 646.39 × 378.35
  4. Step 4: Simplify right side
    433.03x = 244,562.33
  5. Step 5: Solve for x
    x = 244,562.33/433.03
  6. Step 6: Final answer
    x = 564.77

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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.