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Finding the Fourth Proportional to 555.60, 832.61 and 408.20

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Solution

The fourth proportional to 555.60, 832.61 and 408.20 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.60 : 832.61 = 408.20 : x
  2. Step 2: Convert to fraction form
    555.60/832.61 = 408.20/x
  3. Step 3: Cross multiply
    555.60x = 832.61 × 408.20
  4. Step 4: Simplify right side
    555.60x = 339,865.20
  5. Step 5: Solve for x
    x = 339,865.20/555.60
  6. Step 6: Final answer
    x = 611.71

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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.