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Finding the Fourth Proportional to 553.04, 826.66 and 541.52

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Solution

The fourth proportional to 553.04, 826.66 and 541.52 is: 809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 826.66 = 541.52 : x
  2. Step 2: Convert to fraction form
    553.04/826.66 = 541.52/x
  3. Step 3: Cross multiply
    553.04x = 826.66 × 541.52
  4. Step 4: Simplify right side
    553.04x = 447,652.92
  5. Step 5: Solve for x
    x = 447,652.92/553.04
  6. Step 6: Final answer
    x = 809.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.