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Finding the Fourth Proportional to 565.05, 847.53 and 272.70

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Solution

The fourth proportional to 565.05, 847.53 and 272.70 is: 409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 847.53 = 272.70 : x
  2. Step 2: Convert to fraction form
    565.05/847.53 = 272.70/x
  3. Step 3: Cross multiply
    565.05x = 847.53 × 272.70
  4. Step 4: Simplify right side
    565.05x = 231,121.43
  5. Step 5: Solve for x
    x = 231,121.43/565.05
  6. Step 6: Final answer
    x = 409.03

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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.