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Finding the Fourth Proportional to 902.85, 1,245.63 and 571.23

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Solution

The fourth proportional to 902.85, 1,245.63 and 571.23 is: 788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.85 : 1,245.63 = 571.23 : x
  2. Step 2: Convert to fraction form
    902.85/1,245.63 = 571.23/x
  3. Step 3: Cross multiply
    902.85x = 1,245.63 × 571.23
  4. Step 4: Simplify right side
    902.85x = 711,541.22
  5. Step 5: Solve for x
    x = 711,541.22/902.85
  6. Step 6: Final answer
    x = 788.11

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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.