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Finding the Fourth Proportional to 580.97, 875.44 and 480.51

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Solution

The fourth proportional to 580.97, 875.44 and 480.51 is: 724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.97 : 875.44 = 480.51 : x
  2. Step 2: Convert to fraction form
    580.97/875.44 = 480.51/x
  3. Step 3: Cross multiply
    580.97x = 875.44 × 480.51
  4. Step 4: Simplify right side
    580.97x = 420,656.47
  5. Step 5: Solve for x
    x = 420,656.47/580.97
  6. Step 6: Final answer
    x = 724.07

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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.