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Finding the Fourth Proportional to 505.23, 696.90 and 328.02

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Solution

The fourth proportional to 505.23, 696.90 and 328.02 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 696.90 = 328.02 : x
  2. Step 2: Convert to fraction form
    505.23/696.90 = 328.02/x
  3. Step 3: Cross multiply
    505.23x = 696.90 × 328.02
  4. Step 4: Simplify right side
    505.23x = 228,597.14
  5. Step 5: Solve for x
    x = 228,597.14/505.23
  6. Step 6: Final answer
    x = 452.46

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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.