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Finding the Fourth Proportional to 897.25, 1,341.06 and 809.20

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Solution

The fourth proportional to 897.25, 1,341.06 and 809.20 is: 1,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.25 : 1,341.06 = 809.20 : x
  2. Step 2: Convert to fraction form
    897.25/1,341.06 = 809.20/x
  3. Step 3: Cross multiply
    897.25x = 1,341.06 × 809.20
  4. Step 4: Simplify right side
    897.25x = 1,085,187.43
  5. Step 5: Solve for x
    x = 1,085,187.43/897.25
  6. Step 6: Final answer
    x = 1,209.46

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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.