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Finding the Fourth Proportional to 412.62, 614.28 and 395.88

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Solution

The fourth proportional to 412.62, 614.28 and 395.88 is: 589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.62 : 614.28 = 395.88 : x
  2. Step 2: Convert to fraction form
    412.62/614.28 = 395.88/x
  3. Step 3: Cross multiply
    412.62x = 614.28 × 395.88
  4. Step 4: Simplify right side
    412.62x = 243,181.17
  5. Step 5: Solve for x
    x = 243,181.17/412.62
  6. Step 6: Final answer
    x = 589.36

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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.