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Finding the Fourth Proportional to 580.56, 801.96 and 451.20

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Solution

The fourth proportional to 580.56, 801.96 and 451.20 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 801.96 = 451.20 : x
  2. Step 2: Convert to fraction form
    580.56/801.96 = 451.20/x
  3. Step 3: Cross multiply
    580.56x = 801.96 × 451.20
  4. Step 4: Simplify right side
    580.56x = 361,844.35
  5. Step 5: Solve for x
    x = 361,844.35/580.56
  6. Step 6: Final answer
    x = 623.27

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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.