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Finding the Fourth Proportional to 504.25, 695.96 and 294.55

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Solution

The fourth proportional to 504.25, 695.96 and 294.55 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 695.96 = 294.55 : x
  2. Step 2: Convert to fraction form
    504.25/695.96 = 294.55/x
  3. Step 3: Cross multiply
    504.25x = 695.96 × 294.55
  4. Step 4: Simplify right side
    504.25x = 204,991.81
  5. Step 5: Solve for x
    x = 204,991.81/504.25
  6. Step 6: Final answer
    x = 406.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.