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Finding the Fourth Proportional to 543.63, 813.87 and 426.99

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Solution

The fourth proportional to 543.63, 813.87 and 426.99 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.63 : 813.87 = 426.99 : x
  2. Step 2: Convert to fraction form
    543.63/813.87 = 426.99/x
  3. Step 3: Cross multiply
    543.63x = 813.87 × 426.99
  4. Step 4: Simplify right side
    543.63x = 347,514.35
  5. Step 5: Solve for x
    x = 347,514.35/543.63
  6. Step 6: Final answer
    x = 639.25

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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.