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Finding the Fourth Proportional to 504.53, 696.06 and 338.85

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Solution

The fourth proportional to 504.53, 696.06 and 338.85 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.53 : 696.06 = 338.85 : x
  2. Step 2: Convert to fraction form
    504.53/696.06 = 338.85/x
  3. Step 3: Cross multiply
    504.53x = 696.06 × 338.85
  4. Step 4: Simplify right side
    504.53x = 235,859.93
  5. Step 5: Solve for x
    x = 235,859.93/504.53
  6. Step 6: Final answer
    x = 467.49

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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.