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Finding the Fourth Proportional to 902.47, 1,245.39 and 504.13

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Solution

The fourth proportional to 902.47, 1,245.39 and 504.13 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.47 : 1,245.39 = 504.13 : x
  2. Step 2: Convert to fraction form
    902.47/1,245.39 = 504.13/x
  3. Step 3: Cross multiply
    902.47x = 1,245.39 × 504.13
  4. Step 4: Simplify right side
    902.47x = 627,838.46
  5. Step 5: Solve for x
    x = 627,838.46/902.47
  6. Step 6: Final answer
    x = 695.69

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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.