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Finding the Fourth Proportional to 580.05, 800.55 and 439.95

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Solution

The fourth proportional to 580.05, 800.55 and 439.95 is: 607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 800.55 = 439.95 : x
  2. Step 2: Convert to fraction form
    580.05/800.55 = 439.95/x
  3. Step 3: Cross multiply
    580.05x = 800.55 × 439.95
  4. Step 4: Simplify right side
    580.05x = 352,204.97
  5. Step 5: Solve for x
    x = 352,204.97/580.05
  6. Step 6: Final answer
    x = 607.20

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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.