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Finding the Fourth Proportional to 544.57, 811.17 and 543.53

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Solution

The fourth proportional to 544.57, 811.17 and 543.53 is: 809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.57 : 811.17 = 543.53 : x
  2. Step 2: Convert to fraction form
    544.57/811.17 = 543.53/x
  3. Step 3: Cross multiply
    544.57x = 811.17 × 543.53
  4. Step 4: Simplify right side
    544.57x = 440,897.26
  5. Step 5: Solve for x
    x = 440,897.26/544.57
  6. Step 6: Final answer
    x = 809.63

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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.