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Finding the Fourth Proportional to 504.64, 696.39 and 305.59

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Solution

The fourth proportional to 504.64, 696.39 and 305.59 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 696.39 = 305.59 : x
  2. Step 2: Convert to fraction form
    504.64/696.39 = 305.59/x
  3. Step 3: Cross multiply
    504.64x = 696.39 × 305.59
  4. Step 4: Simplify right side
    504.64x = 212,809.82
  5. Step 5: Solve for x
    x = 212,809.82/504.64
  6. Step 6: Final answer
    x = 421.71

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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.