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Finding the Fourth Proportional to 580.58, 874.80 and 480.12

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Solution

The fourth proportional to 580.58, 874.80 and 480.12 is: 723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.58 : 874.80 = 480.12 : x
  2. Step 2: Convert to fraction form
    580.58/874.80 = 480.12/x
  3. Step 3: Cross multiply
    580.58x = 874.80 × 480.12
  4. Step 4: Simplify right side
    580.58x = 420,008.98
  5. Step 5: Solve for x
    x = 420,008.98/580.58
  6. Step 6: Final answer
    x = 723.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.