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Finding the Fourth Proportional to 547.02, 814.82 and 536.09

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Solution

The fourth proportional to 547.02, 814.82 and 536.09 is: 798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 814.82 = 536.09 : x
  2. Step 2: Convert to fraction form
    547.02/814.82 = 536.09/x
  3. Step 3: Cross multiply
    547.02x = 814.82 × 536.09
  4. Step 4: Simplify right side
    547.02x = 436,810.10
  5. Step 5: Solve for x
    x = 436,810.10/547.02
  6. Step 6: Final answer
    x = 798.53

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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.