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Finding the Fourth Proportional to 506.00, 697.84 and 328.78

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Solution

The fourth proportional to 506.00, 697.84 and 328.78 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.00 : 697.84 = 328.78 : x
  2. Step 2: Convert to fraction form
    506.00/697.84 = 328.78/x
  3. Step 3: Cross multiply
    506.00x = 697.84 × 328.78
  4. Step 4: Simplify right side
    506.00x = 229,434.19
  5. Step 5: Solve for x
    x = 229,434.19/506.00
  6. Step 6: Final answer
    x = 453.43

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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.