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Finding the Fourth Proportional to 602.28, 905.04 and 420.84

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Solution

The fourth proportional to 602.28, 905.04 and 420.84 is: 632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 905.04 = 420.84 : x
  2. Step 2: Convert to fraction form
    602.28/905.04 = 420.84/x
  3. Step 3: Cross multiply
    602.28x = 905.04 × 420.84
  4. Step 4: Simplify right side
    602.28x = 380,877.03
  5. Step 5: Solve for x
    x = 380,877.03/602.28
  6. Step 6: Final answer
    x = 632.39

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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.