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Finding the Fourth Proportional to 582.02, 872.78 and 273.80

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Solution

The fourth proportional to 582.02, 872.78 and 273.80 is: 410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 872.78 = 273.80 : x
  2. Step 2: Convert to fraction form
    582.02/872.78 = 273.80/x
  3. Step 3: Cross multiply
    582.02x = 872.78 × 273.80
  4. Step 4: Simplify right side
    582.02x = 238,967.16
  5. Step 5: Solve for x
    x = 238,967.16/582.02
  6. Step 6: Final answer
    x = 410.58

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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.