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Finding the Fourth Proportional to 504.45, 696.54 and 336.56

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Solution

The fourth proportional to 504.45, 696.54 and 336.56 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.45 : 696.54 = 336.56 : x
  2. Step 2: Convert to fraction form
    504.45/696.54 = 336.56/x
  3. Step 3: Cross multiply
    504.45x = 696.54 × 336.56
  4. Step 4: Simplify right side
    504.45x = 234,427.50
  5. Step 5: Solve for x
    x = 234,427.50/504.45
  6. Step 6: Final answer
    x = 464.72

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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.