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Finding the Fourth Proportional to 553.61, 764 and 304.95

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Solution

The fourth proportional to 553.61, 764 and 304.95 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.61 : 764 = 304.95 : x
  2. Step 2: Convert to fraction form
    553.61/764 = 304.95/x
  3. Step 3: Cross multiply
    553.61x = 764 × 304.95
  4. Step 4: Simplify right side
    553.61x = 232,981.80
  5. Step 5: Solve for x
    x = 232,981.80/553.61
  6. Step 6: Final answer
    x = 420.84

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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.