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Finding the Fourth Proportional to 838.03, 1,252.08 and 809.32

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Solution

The fourth proportional to 838.03, 1,252.08 and 809.32 is: 1,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.03 : 1,252.08 = 809.32 : x
  2. Step 2: Convert to fraction form
    838.03/1,252.08 = 809.32/x
  3. Step 3: Cross multiply
    838.03x = 1,252.08 × 809.32
  4. Step 4: Simplify right side
    838.03x = 1,013,327.13
  5. Step 5: Solve for x
    x = 1,013,327.13/838.03
  6. Step 6: Final answer
    x = 1,209.18

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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.