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Finding the Fourth Proportional to 565.82, 847.83 and 411.50

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Solution

The fourth proportional to 565.82, 847.83 and 411.50 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.82 : 847.83 = 411.50 : x
  2. Step 2: Convert to fraction form
    565.82/847.83 = 411.50/x
  3. Step 3: Cross multiply
    565.82x = 847.83 × 411.50
  4. Step 4: Simplify right side
    565.82x = 348,882.05
  5. Step 5: Solve for x
    x = 348,882.05/565.82
  6. Step 6: Final answer
    x = 616.60

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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.