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Finding the Fourth Proportional to 676.99, 933.95 and 411.44

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Solution

The fourth proportional to 676.99, 933.95 and 411.44 is: 567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.99 : 933.95 = 411.44 : x
  2. Step 2: Convert to fraction form
    676.99/933.95 = 411.44/x
  3. Step 3: Cross multiply
    676.99x = 933.95 × 411.44
  4. Step 4: Simplify right side
    676.99x = 384,264.39
  5. Step 5: Solve for x
    x = 384,264.39/676.99
  6. Step 6: Final answer
    x = 567.61

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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.