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Finding the Fourth Proportional to 504.36, 757.08 and 409.32

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Solution

The fourth proportional to 504.36, 757.08 and 409.32 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.36 : 757.08 = 409.32 : x
  2. Step 2: Convert to fraction form
    504.36/757.08 = 409.32/x
  3. Step 3: Cross multiply
    504.36x = 757.08 × 409.32
  4. Step 4: Simplify right side
    504.36x = 309,887.99
  5. Step 5: Solve for x
    x = 309,887.99/504.36
  6. Step 6: Final answer
    x = 614.42

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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.