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Finding the Fourth Proportional to 406, 558.66 and 394.66

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Solution

The fourth proportional to 406, 558.66 and 394.66 is: 543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 558.66 = 394.66 : x
  2. Step 2: Convert to fraction form
    406/558.66 = 394.66/x
  3. Step 3: Cross multiply
    406x = 558.66 × 394.66
  4. Step 4: Simplify right side
    406x = 220,480.76
  5. Step 5: Solve for x
    x = 220,480.76/406
  6. Step 6: Final answer
    x = 543.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.