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Finding the Fourth Proportional to 902.36, 1,347.08 and 838.13

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Solution

The fourth proportional to 902.36, 1,347.08 and 838.13 is: 1,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.36 : 1,347.08 = 838.13 : x
  2. Step 2: Convert to fraction form
    902.36/1,347.08 = 838.13/x
  3. Step 3: Cross multiply
    902.36x = 1,347.08 × 838.13
  4. Step 4: Simplify right side
    902.36x = 1,129,017.23
  5. Step 5: Solve for x
    x = 1,129,017.23/902.36
  6. Step 6: Final answer
    x = 1,251.18

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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.