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Finding the Fourth Proportional to 505.39, 759.24 and 436.21

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Solution

The fourth proportional to 505.39, 759.24 and 436.21 is: 655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.39 : 759.24 = 436.21 : x
  2. Step 2: Convert to fraction form
    505.39/759.24 = 436.21/x
  3. Step 3: Cross multiply
    505.39x = 759.24 × 436.21
  4. Step 4: Simplify right side
    505.39x = 331,188.08
  5. Step 5: Solve for x
    x = 331,188.08/505.39
  6. Step 6: Final answer
    x = 655.31

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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.