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Finding the Fourth Proportional to 433.35, 593.93 and 428.49

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Solution

The fourth proportional to 433.35, 593.93 and 428.49 is: 587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 593.93 = 428.49 : x
  2. Step 2: Convert to fraction form
    433.35/593.93 = 428.49/x
  3. Step 3: Cross multiply
    433.35x = 593.93 × 428.49
  4. Step 4: Simplify right side
    433.35x = 254,494.14
  5. Step 5: Solve for x
    x = 254,494.14/433.35
  6. Step 6: Final answer
    x = 587.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.