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Finding the Fourth Proportional to 547.40, 814.92 and 544.16

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Solution

The fourth proportional to 547.40, 814.92 and 544.16 is: 810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.40 : 814.92 = 544.16 : x
  2. Step 2: Convert to fraction form
    547.40/814.92 = 544.16/x
  3. Step 3: Cross multiply
    547.40x = 814.92 × 544.16
  4. Step 4: Simplify right side
    547.40x = 443,446.87
  5. Step 5: Solve for x
    x = 443,446.87/547.40
  6. Step 6: Final answer
    x = 810.10

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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.