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Finding the Fourth Proportional to 602.42, 902.28 and 448.61

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Solution

The fourth proportional to 602.42, 902.28 and 448.61 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 902.28 = 448.61 : x
  2. Step 2: Convert to fraction form
    602.42/902.28 = 448.61/x
  3. Step 3: Cross multiply
    602.42x = 902.28 × 448.61
  4. Step 4: Simplify right side
    602.42x = 404,771.83
  5. Step 5: Solve for x
    x = 404,771.83/602.42
  6. Step 6: Final answer
    x = 671.91

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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.