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Finding the Fourth Proportional to 543.33, 810.77 and 522.27

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Solution

The fourth proportional to 543.33, 810.77 and 522.27 is: 779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.33 : 810.77 = 522.27 : x
  2. Step 2: Convert to fraction form
    543.33/810.77 = 522.27/x
  3. Step 3: Cross multiply
    543.33x = 810.77 × 522.27
  4. Step 4: Simplify right side
    543.33x = 423,438.24
  5. Step 5: Solve for x
    x = 423,438.24/543.33
  6. Step 6: Final answer
    x = 779.34

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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.