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Finding the Fourth Proportional to 505.05, 696.51 and 364.65

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Solution

The fourth proportional to 505.05, 696.51 and 364.65 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.05 : 696.51 = 364.65 : x
  2. Step 2: Convert to fraction form
    505.05/696.51 = 364.65/x
  3. Step 3: Cross multiply
    505.05x = 696.51 × 364.65
  4. Step 4: Simplify right side
    505.05x = 253,982.37
  5. Step 5: Solve for x
    x = 253,982.37/505.05
  6. Step 6: Final answer
    x = 502.89

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1.5x scale

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.