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Finding the Fourth Proportional to 411.71, 620.34 and 340.19

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Solution

The fourth proportional to 411.71, 620.34 and 340.19 is: 512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.71 : 620.34 = 340.19 : x
  2. Step 2: Convert to fraction form
    411.71/620.34 = 340.19/x
  3. Step 3: Cross multiply
    411.71x = 620.34 × 340.19
  4. Step 4: Simplify right side
    411.71x = 211,031.58
  5. Step 5: Solve for x
    x = 211,031.58/411.71
  6. Step 6: Final answer
    x = 512.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.