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Finding the Fourth Proportional to 548.63, 823.76 and 538.91

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Solution

The fourth proportional to 548.63, 823.76 and 538.91 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.63 : 823.76 = 538.91 : x
  2. Step 2: Convert to fraction form
    548.63/823.76 = 538.91/x
  3. Step 3: Cross multiply
    548.63x = 823.76 × 538.91
  4. Step 4: Simplify right side
    548.63x = 443,932.50
  5. Step 5: Solve for x
    x = 443,932.50/548.63
  6. Step 6: Final answer
    x = 809.17

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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.