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Finding the Fourth Proportional to 504.23, 696 and 305.17

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Solution

The fourth proportional to 504.23, 696 and 305.17 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 696 = 305.17 : x
  2. Step 2: Convert to fraction form
    504.23/696 = 305.17/x
  3. Step 3: Cross multiply
    504.23x = 696 × 305.17
  4. Step 4: Simplify right side
    504.23x = 212,394.84
  5. Step 5: Solve for x
    x = 212,394.84/504.23
  6. Step 6: Final answer
    x = 421.23

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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.