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Finding the Fourth Proportional to 855.50, 1,277.48 and 846.46

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Solution

The fourth proportional to 855.50, 1,277.48 and 846.46 is: 1,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.50 : 1,277.48 = 846.46 : x
  2. Step 2: Convert to fraction form
    855.50/1,277.48 = 846.46/x
  3. Step 3: Cross multiply
    855.50x = 1,277.48 × 846.46
  4. Step 4: Simplify right side
    855.50x = 1,081,335.25
  5. Step 5: Solve for x
    x = 1,081,335.25/855.50
  6. Step 6: Final answer
    x = 1,263.98

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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.