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Finding the Fourth Proportional to 504.83, 697.01 and 327.88

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Solution

The fourth proportional to 504.83, 697.01 and 327.88 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.83 : 697.01 = 327.88 : x
  2. Step 2: Convert to fraction form
    504.83/697.01 = 327.88/x
  3. Step 3: Cross multiply
    504.83x = 697.01 × 327.88
  4. Step 4: Simplify right side
    504.83x = 228,534.87
  5. Step 5: Solve for x
    x = 228,534.87/504.83
  6. Step 6: Final answer
    x = 452.69

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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.