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Finding the Fourth Proportional to 581.68, 872.48 and 273.80

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Solution

The fourth proportional to 581.68, 872.48 and 273.80 is: 410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 872.48 = 273.80 : x
  2. Step 2: Convert to fraction form
    581.68/872.48 = 273.80/x
  3. Step 3: Cross multiply
    581.68x = 872.48 × 273.80
  4. Step 4: Simplify right side
    581.68x = 238,885.02
  5. Step 5: Solve for x
    x = 238,885.02/581.68
  6. Step 6: Final answer
    x = 410.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.