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Finding the Fourth Proportional to 902.49, 1,246.13 and 571.71

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Solution

The fourth proportional to 902.49, 1,246.13 and 571.71 is: 789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.49 : 1,246.13 = 571.71 : x
  2. Step 2: Convert to fraction form
    902.49/1,246.13 = 571.71/x
  3. Step 3: Cross multiply
    902.49x = 1,246.13 × 571.71
  4. Step 4: Simplify right side
    902.49x = 712,424.98
  5. Step 5: Solve for x
    x = 712,424.98/902.49
  6. Step 6: Final answer
    x = 789.40

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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.