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Finding the Fourth Proportional to 607.99, 839.28 and 411.77

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Solution

The fourth proportional to 607.99, 839.28 and 411.77 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.99 : 839.28 = 411.77 : x
  2. Step 2: Convert to fraction form
    607.99/839.28 = 411.77/x
  3. Step 3: Cross multiply
    607.99x = 839.28 × 411.77
  4. Step 4: Simplify right side
    607.99x = 345,590.33
  5. Step 5: Solve for x
    x = 345,590.33/607.99
  6. Step 6: Final answer
    x = 568.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.