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Finding the Fourth Proportional to 412.65, 622.07 and 409.01

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Solution

The fourth proportional to 412.65, 622.07 and 409.01 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.65 : 622.07 = 409.01 : x
  2. Step 2: Convert to fraction form
    412.65/622.07 = 409.01/x
  3. Step 3: Cross multiply
    412.65x = 622.07 × 409.01
  4. Step 4: Simplify right side
    412.65x = 254,429.23
  5. Step 5: Solve for x
    x = 254,429.23/412.65
  6. Step 6: Final answer
    x = 616.57

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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.