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Finding the Fourth Proportional to 543.78, 813.96 and 299.70

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Solution

The fourth proportional to 543.78, 813.96 and 299.70 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.78 : 813.96 = 299.70 : x
  2. Step 2: Convert to fraction form
    543.78/813.96 = 299.70/x
  3. Step 3: Cross multiply
    543.78x = 813.96 × 299.70
  4. Step 4: Simplify right side
    543.78x = 243,943.81
  5. Step 5: Solve for x
    x = 243,943.81/543.78
  6. Step 6: Final answer
    x = 448.61

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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.