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Finding the Fourth Proportional to 902.50, 1,245.45 and 488.50

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Solution

The fourth proportional to 902.50, 1,245.45 and 488.50 is: 674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,245.45 = 488.50 : x
  2. Step 2: Convert to fraction form
    902.50/1,245.45 = 488.50/x
  3. Step 3: Cross multiply
    902.50x = 1,245.45 × 488.50
  4. Step 4: Simplify right side
    902.50x = 608,402.33
  5. Step 5: Solve for x
    x = 608,402.33/902.50
  6. Step 6: Final answer
    x = 674.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.