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Finding the Fourth Proportional to 839.15, 1,263.15 and 765.35

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Solution

The fourth proportional to 839.15, 1,263.15 and 765.35 is: 1,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.15 : 1,263.15 = 765.35 : x
  2. Step 2: Convert to fraction form
    839.15/1,263.15 = 765.35/x
  3. Step 3: Cross multiply
    839.15x = 1,263.15 × 765.35
  4. Step 4: Simplify right side
    839.15x = 966,745.54
  5. Step 5: Solve for x
    x = 966,745.54/839.15
  6. Step 6: Final answer
    x = 1,152.06

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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.