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Finding the Fourth Proportional to 582.37, 872.30 and 273.76

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Solution

The fourth proportional to 582.37, 872.30 and 273.76 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.37 : 872.30 = 273.76 : x
  2. Step 2: Convert to fraction form
    582.37/872.30 = 273.76/x
  3. Step 3: Cross multiply
    582.37x = 872.30 × 273.76
  4. Step 4: Simplify right side
    582.37x = 238,799.96
  5. Step 5: Solve for x
    x = 238,799.96/582.37
  6. Step 6: Final answer
    x = 410.05

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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.