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Finding the Fourth Proportional to 505.77, 697.78 and 331.21

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Solution

The fourth proportional to 505.77, 697.78 and 331.21 is: 456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 697.78 = 331.21 : x
  2. Step 2: Convert to fraction form
    505.77/697.78 = 331.21/x
  3. Step 3: Cross multiply
    505.77x = 697.78 × 331.21
  4. Step 4: Simplify right side
    505.77x = 231,111.71
  5. Step 5: Solve for x
    x = 231,111.71/505.77
  6. Step 6: Final answer
    x = 456.95

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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.