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Finding the Fourth Proportional to 902.27, 1,245.01 and 503.89

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Solution

The fourth proportional to 902.27, 1,245.01 and 503.89 is: 695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.27 : 1,245.01 = 503.89 : x
  2. Step 2: Convert to fraction form
    902.27/1,245.01 = 503.89/x
  3. Step 3: Cross multiply
    902.27x = 1,245.01 × 503.89
  4. Step 4: Simplify right side
    902.27x = 627,348.09
  5. Step 5: Solve for x
    x = 627,348.09/902.27
  6. Step 6: Final answer
    x = 695.30

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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.