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Finding the Fourth Proportional to 602.97, 902.70 and 480.39

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Solution

The fourth proportional to 602.97, 902.70 and 480.39 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 902.70 = 480.39 : x
  2. Step 2: Convert to fraction form
    602.97/902.70 = 480.39/x
  3. Step 3: Cross multiply
    602.97x = 902.70 × 480.39
  4. Step 4: Simplify right side
    602.97x = 433,648.05
  5. Step 5: Solve for x
    x = 433,648.05/602.97
  6. Step 6: Final answer
    x = 719.19

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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.