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Finding the Fourth Proportional to 505.85, 697.88 and 331.43

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Solution

The fourth proportional to 505.85, 697.88 and 331.43 is: 457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 697.88 = 331.43 : x
  2. Step 2: Convert to fraction form
    505.85/697.88 = 331.43/x
  3. Step 3: Cross multiply
    505.85x = 697.88 × 331.43
  4. Step 4: Simplify right side
    505.85x = 231,295.71
  5. Step 5: Solve for x
    x = 231,295.71/505.85
  6. Step 6: Final answer
    x = 457.25

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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.