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Finding the Fourth Proportional to 543.19, 813.84 and 282.79

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Solution

The fourth proportional to 543.19, 813.84 and 282.79 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.19 : 813.84 = 282.79 : x
  2. Step 2: Convert to fraction form
    543.19/813.84 = 282.79/x
  3. Step 3: Cross multiply
    543.19x = 813.84 × 282.79
  4. Step 4: Simplify right side
    543.19x = 230,142.37
  5. Step 5: Solve for x
    x = 230,142.37/543.19
  6. Step 6: Final answer
    x = 423.69

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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.