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Finding the Fourth Proportional to 411.46, 568.91 and 359.58

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Solution

The fourth proportional to 411.46, 568.91 and 359.58 is: 497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.46 : 568.91 = 359.58 : x
  2. Step 2: Convert to fraction form
    411.46/568.91 = 359.58/x
  3. Step 3: Cross multiply
    411.46x = 568.91 × 359.58
  4. Step 4: Simplify right side
    411.46x = 204,568.66
  5. Step 5: Solve for x
    x = 204,568.66/411.46
  6. Step 6: Final answer
    x = 497.18

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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.