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Finding the Fourth Proportional to 553.26, 763.51 and 304.59

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Solution

The fourth proportional to 553.26, 763.51 and 304.59 is: 420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.26 : 763.51 = 304.59 : x
  2. Step 2: Convert to fraction form
    553.26/763.51 = 304.59/x
  3. Step 3: Cross multiply
    553.26x = 763.51 × 304.59
  4. Step 4: Simplify right side
    553.26x = 232,555.03
  5. Step 5: Solve for x
    x = 232,555.03/553.26
  6. Step 6: Final answer
    x = 420.33

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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.