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Finding the Fourth Proportional to 504.89, 696.57 and 330.34

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Solution

The fourth proportional to 504.89, 696.57 and 330.34 is: 455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.89 : 696.57 = 330.34 : x
  2. Step 2: Convert to fraction form
    504.89/696.57 = 330.34/x
  3. Step 3: Cross multiply
    504.89x = 696.57 × 330.34
  4. Step 4: Simplify right side
    504.89x = 230,104.93
  5. Step 5: Solve for x
    x = 230,104.93/504.89
  6. Step 6: Final answer
    x = 455.75

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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.