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Finding the Fourth Proportional to 504.82, 697.02 and 328.04

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Solution

The fourth proportional to 504.82, 697.02 and 328.04 is: 452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.82 : 697.02 = 328.04 : x
  2. Step 2: Convert to fraction form
    504.82/697.02 = 328.04/x
  3. Step 3: Cross multiply
    504.82x = 697.02 × 328.04
  4. Step 4: Simplify right side
    504.82x = 228,645.32
  5. Step 5: Solve for x
    x = 228,645.32/504.82
  6. Step 6: Final answer
    x = 452.93

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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.