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Finding the Fourth Proportional to 505.07, 696.70 and 308.24

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Solution

The fourth proportional to 505.07, 696.70 and 308.24 is: 425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.07 : 696.70 = 308.24 : x
  2. Step 2: Convert to fraction form
    505.07/696.70 = 308.24/x
  3. Step 3: Cross multiply
    505.07x = 696.70 × 308.24
  4. Step 4: Simplify right side
    505.07x = 214,751.78
  5. Step 5: Solve for x
    x = 214,751.78/505.07
  6. Step 6: Final answer
    x = 425.19

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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.