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Finding the Fourth Proportional to 547.35, 817.77 and 542.49

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Solution

The fourth proportional to 547.35, 817.77 and 542.49 is: 810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.35 : 817.77 = 542.49 : x
  2. Step 2: Convert to fraction form
    547.35/817.77 = 542.49/x
  3. Step 3: Cross multiply
    547.35x = 817.77 × 542.49
  4. Step 4: Simplify right side
    547.35x = 443,632.05
  5. Step 5: Solve for x
    x = 443,632.05/547.35
  6. Step 6: Final answer
    x = 810.51

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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.