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Finding the Fourth Proportional to 855.44, 1,178.76 and 801.68

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Solution

The fourth proportional to 855.44, 1,178.76 and 801.68 is: 1,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.44 : 1,178.76 = 801.68 : x
  2. Step 2: Convert to fraction form
    855.44/1,178.76 = 801.68/x
  3. Step 3: Cross multiply
    855.44x = 1,178.76 × 801.68
  4. Step 4: Simplify right side
    855.44x = 944,988.32
  5. Step 5: Solve for x
    x = 944,988.32/855.44
  6. Step 6: Final answer
    x = 1,104.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.