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Finding the Fourth Proportional to 406.85, 606.47 and 393.35

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Solution

The fourth proportional to 406.85, 606.47 and 393.35 is: 586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 606.47 = 393.35 : x
  2. Step 2: Convert to fraction form
    406.85/606.47 = 393.35/x
  3. Step 3: Cross multiply
    406.85x = 606.47 × 393.35
  4. Step 4: Simplify right side
    406.85x = 238,549.98
  5. Step 5: Solve for x
    x = 238,549.98/406.85
  6. Step 6: Final answer
    x = 586.34

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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.