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Finding the Fourth Proportional to 504.56, 696.39 and 421.52

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Solution

The fourth proportional to 504.56, 696.39 and 421.52 is: 581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 696.39 = 421.52 : x
  2. Step 2: Convert to fraction form
    504.56/696.39 = 421.52/x
  3. Step 3: Cross multiply
    504.56x = 696.39 × 421.52
  4. Step 4: Simplify right side
    504.56x = 293,542.31
  5. Step 5: Solve for x
    x = 293,542.31/504.56
  6. Step 6: Final answer
    x = 581.78

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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.