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Finding the Fourth Proportional to 855.54, 1,275.76 and 788.22

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Solution

The fourth proportional to 855.54, 1,275.76 and 788.22 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.54 : 1,275.76 = 788.22 : x
  2. Step 2: Convert to fraction form
    855.54/1,275.76 = 788.22/x
  3. Step 3: Cross multiply
    855.54x = 1,275.76 × 788.22
  4. Step 4: Simplify right side
    855.54x = 1,005,579.55
  5. Step 5: Solve for x
    x = 1,005,579.55/855.54
  6. Step 6: Final answer
    x = 1,175.37

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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.