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Finding the Fourth Proportional to 553.46, 763.73 and 304.74

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Solution

The fourth proportional to 553.46, 763.73 and 304.74 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 763.73 = 304.74 : x
  2. Step 2: Convert to fraction form
    553.46/763.73 = 304.74/x
  3. Step 3: Cross multiply
    553.46x = 763.73 × 304.74
  4. Step 4: Simplify right side
    553.46x = 232,739.08
  5. Step 5: Solve for x
    x = 232,739.08/553.46
  6. Step 6: Final answer
    x = 420.52

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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.