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Finding the Fourth Proportional to 504.27, 699.08 and 494.24

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Solution

The fourth proportional to 504.27, 699.08 and 494.24 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 699.08 = 494.24 : x
  2. Step 2: Convert to fraction form
    504.27/699.08 = 494.24/x
  3. Step 3: Cross multiply
    504.27x = 699.08 × 494.24
  4. Step 4: Simplify right side
    504.27x = 345,507.33
  5. Step 5: Solve for x
    x = 345,507.33/504.27
  6. Step 6: Final answer
    x = 685.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.