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Finding the Fourth Proportional to 554.12, 832.80 and 411.56

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Solution

The fourth proportional to 554.12, 832.80 and 411.56 is: 618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.12 : 832.80 = 411.56 : x
  2. Step 2: Convert to fraction form
    554.12/832.80 = 411.56/x
  3. Step 3: Cross multiply
    554.12x = 832.80 × 411.56
  4. Step 4: Simplify right side
    554.12x = 342,747.17
  5. Step 5: Solve for x
    x = 342,747.17/554.12
  6. Step 6: Final answer
    x = 618.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.