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Finding the Fourth Proportional to 412.47, 621.09 and 340.03

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Solution

The fourth proportional to 412.47, 621.09 and 340.03 is: 512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.47 : 621.09 = 340.03 : x
  2. Step 2: Convert to fraction form
    412.47/621.09 = 340.03/x
  3. Step 3: Cross multiply
    412.47x = 621.09 × 340.03
  4. Step 4: Simplify right side
    412.47x = 211,187.68
  5. Step 5: Solve for x
    x = 211,187.68/412.47
  6. Step 6: Final answer
    x = 512.01

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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.