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Finding the Fourth Proportional to 581.26, 875.89 and 480.81

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Solution

The fourth proportional to 581.26, 875.89 and 480.81 is: 724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.26 : 875.89 = 480.81 : x
  2. Step 2: Convert to fraction form
    581.26/875.89 = 480.81/x
  3. Step 3: Cross multiply
    581.26x = 875.89 × 480.81
  4. Step 4: Simplify right side
    581.26x = 421,131.69
  5. Step 5: Solve for x
    x = 421,131.69/581.26
  6. Step 6: Final answer
    x = 724.52

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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.