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Finding the Fourth Proportional to 433.20, 593.52 and 427.13

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Solution

The fourth proportional to 433.20, 593.52 and 427.13 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 593.52 = 427.13 : x
  2. Step 2: Convert to fraction form
    433.20/593.52 = 427.13/x
  3. Step 3: Cross multiply
    433.20x = 593.52 × 427.13
  4. Step 4: Simplify right side
    433.20x = 253,507.23
  5. Step 5: Solve for x
    x = 253,507.23/433.20
  6. Step 6: Final answer
    x = 585.20

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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.