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Finding the Fourth Proportional to 505.36, 762.43 and 504.01

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Solution

The fourth proportional to 505.36, 762.43 and 504.01 is: 760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 762.43 = 504.01 : x
  2. Step 2: Convert to fraction form
    505.36/762.43 = 504.01/x
  3. Step 3: Cross multiply
    505.36x = 762.43 × 504.01
  4. Step 4: Simplify right side
    505.36x = 384,272.34
  5. Step 5: Solve for x
    x = 384,272.34/505.36
  6. Step 6: Final answer
    x = 760.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.