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Finding the Fourth Proportional to 602.78, 904.31 and 273.59

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Solution

The fourth proportional to 602.78, 904.31 and 273.59 is: 410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 904.31 = 273.59 : x
  2. Step 2: Convert to fraction form
    602.78/904.31 = 273.59/x
  3. Step 3: Cross multiply
    602.78x = 904.31 × 273.59
  4. Step 4: Simplify right side
    602.78x = 247,404.28
  5. Step 5: Solve for x
    x = 247,404.28/602.78
  6. Step 6: Final answer
    x = 410.44

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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.