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Finding the Fourth Proportional to 504.06, 696.10 and 329.50

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Solution

The fourth proportional to 504.06, 696.10 and 329.50 is: 455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 696.10 = 329.50 : x
  2. Step 2: Convert to fraction form
    504.06/696.10 = 329.50/x
  3. Step 3: Cross multiply
    504.06x = 696.10 × 329.50
  4. Step 4: Simplify right side
    504.06x = 229,364.95
  5. Step 5: Solve for x
    x = 229,364.95/504.06
  6. Step 6: Final answer
    x = 455.04

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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.