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Finding the Fourth Proportional to 412.54, 570.09 and 314.11

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Solution

The fourth proportional to 412.54, 570.09 and 314.11 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 570.09 = 314.11 : x
  2. Step 2: Convert to fraction form
    412.54/570.09 = 314.11/x
  3. Step 3: Cross multiply
    412.54x = 570.09 × 314.11
  4. Step 4: Simplify right side
    412.54x = 179,070.97
  5. Step 5: Solve for x
    x = 179,070.97/412.54
  6. Step 6: Final answer
    x = 434.07

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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.