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Finding the Fourth Proportional to 505.05, 696.85 and 345.59

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Solution

The fourth proportional to 505.05, 696.85 and 345.59 is: 476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.05 : 696.85 = 345.59 : x
  2. Step 2: Convert to fraction form
    505.05/696.85 = 345.59/x
  3. Step 3: Cross multiply
    505.05x = 696.85 × 345.59
  4. Step 4: Simplify right side
    505.05x = 240,824.39
  5. Step 5: Solve for x
    x = 240,824.39/505.05
  6. Step 6: Final answer
    x = 476.83

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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.