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Finding the Fourth Proportional to 412.04, 614.08 and 388.34

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Solution

The fourth proportional to 412.04, 614.08 and 388.34 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.04 : 614.08 = 388.34 : x
  2. Step 2: Convert to fraction form
    412.04/614.08 = 388.34/x
  3. Step 3: Cross multiply
    412.04x = 614.08 × 388.34
  4. Step 4: Simplify right side
    412.04x = 238,471.83
  5. Step 5: Solve for x
    x = 238,471.83/412.04
  6. Step 6: Final answer
    x = 578.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.