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Finding the Fourth Proportional to 581.53, 876.23 and 481.07

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Solution

The fourth proportional to 581.53, 876.23 and 481.07 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.53 : 876.23 = 481.07 : x
  2. Step 2: Convert to fraction form
    581.53/876.23 = 481.07/x
  3. Step 3: Cross multiply
    581.53x = 876.23 × 481.07
  4. Step 4: Simplify right side
    581.53x = 421,523.58
  5. Step 5: Solve for x
    x = 421,523.58/581.53
  6. Step 6: Final answer
    x = 724.85

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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.