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Finding the Fourth Proportional to 843.99, 1,264.77 and 411.45

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Solution

The fourth proportional to 843.99, 1,264.77 and 411.45 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.99 : 1,264.77 = 411.45 : x
  2. Step 2: Convert to fraction form
    843.99/1,264.77 = 411.45/x
  3. Step 3: Cross multiply
    843.99x = 1,264.77 × 411.45
  4. Step 4: Simplify right side
    843.99x = 520,389.62
  5. Step 5: Solve for x
    x = 520,389.62/843.99
  6. Step 6: Final answer
    x = 616.58

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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.