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Finding the Fourth Proportional to 602.42, 902.90 and 289.88

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Solution

The fourth proportional to 602.42, 902.90 and 289.88 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 902.90 = 289.88 : x
  2. Step 2: Convert to fraction form
    602.42/902.90 = 289.88/x
  3. Step 3: Cross multiply
    602.42x = 902.90 × 289.88
  4. Step 4: Simplify right side
    602.42x = 261,732.65
  5. Step 5: Solve for x
    x = 261,732.65/602.42
  6. Step 6: Final answer
    x = 434.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.