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Finding the Fourth Proportional to 553.04, 763.56 and 422.72

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Solution

The fourth proportional to 553.04, 763.56 and 422.72 is: 583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 763.56 = 422.72 : x
  2. Step 2: Convert to fraction form
    553.04/763.56 = 422.72/x
  3. Step 3: Cross multiply
    553.04x = 763.56 × 422.72
  4. Step 4: Simplify right side
    553.04x = 322,772.08
  5. Step 5: Solve for x
    x = 322,772.08/553.04
  6. Step 6: Final answer
    x = 583.63

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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.