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Finding the Fourth Proportional to 555.72, 827.85 and 546.54

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Solution

The fourth proportional to 555.72, 827.85 and 546.54 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.72 : 827.85 = 546.54 : x
  2. Step 2: Convert to fraction form
    555.72/827.85 = 546.54/x
  3. Step 3: Cross multiply
    555.72x = 827.85 × 546.54
  4. Step 4: Simplify right side
    555.72x = 452,453.14
  5. Step 5: Solve for x
    x = 452,453.14/555.72
  6. Step 6: Final answer
    x = 814.17

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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.