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Finding the Fourth Proportional to 406.72, 608.72 and 392.32

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Solution

The fourth proportional to 406.72, 608.72 and 392.32 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 608.72 = 392.32 : x
  2. Step 2: Convert to fraction form
    406.72/608.72 = 392.32/x
  3. Step 3: Cross multiply
    406.72x = 608.72 × 392.32
  4. Step 4: Simplify right side
    406.72x = 238,813.03
  5. Step 5: Solve for x
    x = 238,813.03/406.72
  6. Step 6: Final answer
    x = 587.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.