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Finding the Fourth Proportional to 602.56, 903.84 and 419.86

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Solution

The fourth proportional to 602.56, 903.84 and 419.86 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 903.84 = 419.86 : x
  2. Step 2: Convert to fraction form
    602.56/903.84 = 419.86/x
  3. Step 3: Cross multiply
    602.56x = 903.84 × 419.86
  4. Step 4: Simplify right side
    602.56x = 379,486.26
  5. Step 5: Solve for x
    x = 379,486.26/602.56
  6. Step 6: Final answer
    x = 629.79

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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.