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Finding the Fourth Proportional to 504.25, 695.79 and 305.09

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Solution

The fourth proportional to 504.25, 695.79 and 305.09 is: 420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 695.79 = 305.09 : x
  2. Step 2: Convert to fraction form
    504.25/695.79 = 305.09/x
  3. Step 3: Cross multiply
    504.25x = 695.79 × 305.09
  4. Step 4: Simplify right side
    504.25x = 212,278.57
  5. Step 5: Solve for x
    x = 212,278.57/504.25
  6. Step 6: Final answer
    x = 420.98

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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.