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Finding the Fourth Proportional to 543.64, 814.74 and 405.58

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Solution

The fourth proportional to 543.64, 814.74 and 405.58 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 814.74 = 405.58 : x
  2. Step 2: Convert to fraction form
    543.64/814.74 = 405.58/x
  3. Step 3: Cross multiply
    543.64x = 814.74 × 405.58
  4. Step 4: Simplify right side
    543.64x = 330,442.25
  5. Step 5: Solve for x
    x = 330,442.25/543.64
  6. Step 6: Final answer
    x = 607.83

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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.