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Finding the Fourth Proportional to 546.56, 823.87 and 455.86

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Solution

The fourth proportional to 546.56, 823.87 and 455.86 is: 687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.56 : 823.87 = 455.86 : x
  2. Step 2: Convert to fraction form
    546.56/823.87 = 455.86/x
  3. Step 3: Cross multiply
    546.56x = 823.87 × 455.86
  4. Step 4: Simplify right side
    546.56x = 375,566.18
  5. Step 5: Solve for x
    x = 375,566.18/546.56
  6. Step 6: Final answer
    x = 687.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.