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Finding the Fourth Proportional to 902.89, 1,246.53 and 571.60

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Solution

The fourth proportional to 902.89, 1,246.53 and 571.60 is: 789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.89 : 1,246.53 = 571.60 : x
  2. Step 2: Convert to fraction form
    902.89/1,246.53 = 571.60/x
  3. Step 3: Cross multiply
    902.89x = 1,246.53 × 571.60
  4. Step 4: Simplify right side
    902.89x = 712,518.95
  5. Step 5: Solve for x
    x = 712,518.95/902.89
  6. Step 6: Final answer
    x = 789.15

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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.