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Finding the Fourth Proportional to 410.37, 612.86 and 406.14

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Solution

The fourth proportional to 410.37, 612.86 and 406.14 is: 606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 612.86 = 406.14 : x
  2. Step 2: Convert to fraction form
    410.37/612.86 = 406.14/x
  3. Step 3: Cross multiply
    410.37x = 612.86 × 406.14
  4. Step 4: Simplify right side
    410.37x = 248,906.96
  5. Step 5: Solve for x
    x = 248,906.96/410.37
  6. Step 6: Final answer
    x = 606.54

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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.