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Finding the Fourth Proportional to 677.45, 934.21 and 411.93

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Solution

The fourth proportional to 677.45, 934.21 and 411.93 is: 568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.45 : 934.21 = 411.93 : x
  2. Step 2: Convert to fraction form
    677.45/934.21 = 411.93/x
  3. Step 3: Cross multiply
    677.45x = 934.21 × 411.93
  4. Step 4: Simplify right side
    677.45x = 384,829.13
  5. Step 5: Solve for x
    x = 384,829.13/677.45
  6. Step 6: Final answer
    x = 568.06

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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.