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Finding the Fourth Proportional to 543.36, 814.50 and 405.66

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Solution

The fourth proportional to 543.36, 814.50 and 405.66 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 814.50 = 405.66 : x
  2. Step 2: Convert to fraction form
    543.36/814.50 = 405.66/x
  3. Step 3: Cross multiply
    543.36x = 814.50 × 405.66
  4. Step 4: Simplify right side
    543.36x = 330,410.07
  5. Step 5: Solve for x
    x = 330,410.07/543.36
  6. Step 6: Final answer
    x = 608.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.