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Finding the Fourth Proportional to 902.49, 1,344.76 and 804.24

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Solution

The fourth proportional to 902.49, 1,344.76 and 804.24 is: 1,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.49 : 1,344.76 = 804.24 : x
  2. Step 2: Convert to fraction form
    902.49/1,344.76 = 804.24/x
  3. Step 3: Cross multiply
    902.49x = 1,344.76 × 804.24
  4. Step 4: Simplify right side
    902.49x = 1,081,509.78
  5. Step 5: Solve for x
    x = 1,081,509.78/902.49
  6. Step 6: Final answer
    x = 1,198.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.