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Finding the Fourth Proportional to 602.45, 902.54 and 480.57

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Solution

The fourth proportional to 602.45, 902.54 and 480.57 is: 719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.45 : 902.54 = 480.57 : x
  2. Step 2: Convert to fraction form
    602.45/902.54 = 480.57/x
  3. Step 3: Cross multiply
    602.45x = 902.54 × 480.57
  4. Step 4: Simplify right side
    602.45x = 433,731.24
  5. Step 5: Solve for x
    x = 433,731.24/602.45
  6. Step 6: Final answer
    x = 719.95

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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.