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Finding the Fourth Proportional to 886.78, 1,336.70 and 809.02

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Solution

The fourth proportional to 886.78, 1,336.70 and 809.02 is: 1,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.78 : 1,336.70 = 809.02 : x
  2. Step 2: Convert to fraction form
    886.78/1,336.70 = 809.02/x
  3. Step 3: Cross multiply
    886.78x = 1,336.70 × 809.02
  4. Step 4: Simplify right side
    886.78x = 1,081,417.03
  5. Step 5: Solve for x
    x = 1,081,417.03/886.78
  6. Step 6: Final answer
    x = 1,219.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.