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Finding the Fourth Proportional to 553.44, 826.46 and 525.36

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Solution

The fourth proportional to 553.44, 826.46 and 525.36 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.44 : 826.46 = 525.36 : x
  2. Step 2: Convert to fraction form
    553.44/826.46 = 525.36/x
  3. Step 3: Cross multiply
    553.44x = 826.46 × 525.36
  4. Step 4: Simplify right side
    553.44x = 434,189.03
  5. Step 5: Solve for x
    x = 434,189.03/553.44
  6. Step 6: Final answer
    x = 784.53

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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.