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Finding the Fourth Proportional to 553.47, 826.01 and 531.15

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Solution

The fourth proportional to 553.47, 826.01 and 531.15 is: 792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.47 : 826.01 = 531.15 : x
  2. Step 2: Convert to fraction form
    553.47/826.01 = 531.15/x
  3. Step 3: Cross multiply
    553.47x = 826.01 × 531.15
  4. Step 4: Simplify right side
    553.47x = 438,732.56
  5. Step 5: Solve for x
    x = 438,732.56/553.47
  6. Step 6: Final answer
    x = 792.69

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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.