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Finding the Fourth Proportional to 411.74, 617.13 and 257.70

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Solution

The fourth proportional to 411.74, 617.13 and 257.70 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 617.13 = 257.70 : x
  2. Step 2: Convert to fraction form
    411.74/617.13 = 257.70/x
  3. Step 3: Cross multiply
    411.74x = 617.13 × 257.70
  4. Step 4: Simplify right side
    411.74x = 159,034.40
  5. Step 5: Solve for x
    x = 159,034.40/411.74
  6. Step 6: Final answer
    x = 386.25

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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.