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Finding the Fourth Proportional to 505.23, 696.87 and 363.32

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Solution

The fourth proportional to 505.23, 696.87 and 363.32 is: 501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 696.87 = 363.32 : x
  2. Step 2: Convert to fraction form
    505.23/696.87 = 363.32/x
  3. Step 3: Cross multiply
    505.23x = 696.87 × 363.32
  4. Step 4: Simplify right side
    505.23x = 253,186.81
  5. Step 5: Solve for x
    x = 253,186.81/505.23
  6. Step 6: Final answer
    x = 501.13

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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.