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Finding the Fourth Proportional to 505.69, 757.97 and 464.68

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Solution

The fourth proportional to 505.69, 757.97 and 464.68 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 757.97 = 464.68 : x
  2. Step 2: Convert to fraction form
    505.69/757.97 = 464.68/x
  3. Step 3: Cross multiply
    505.69x = 757.97 × 464.68
  4. Step 4: Simplify right side
    505.69x = 352,211.18
  5. Step 5: Solve for x
    x = 352,211.18/505.69
  6. Step 6: Final answer
    x = 696.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.