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Finding the Fourth Proportional to 602.20, 903.96 and 466.88

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Solution

The fourth proportional to 602.20, 903.96 and 466.88 is: 700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 903.96 = 466.88 : x
  2. Step 2: Convert to fraction form
    602.20/903.96 = 466.88/x
  3. Step 3: Cross multiply
    602.20x = 903.96 × 466.88
  4. Step 4: Simplify right side
    602.20x = 422,040.84
  5. Step 5: Solve for x
    x = 422,040.84/602.20
  6. Step 6: Final answer
    x = 700.83

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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.