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Finding the Fourth Proportional to 876.12, 1,305.06 and 846.15

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Solution

The fourth proportional to 876.12, 1,305.06 and 846.15 is: 1,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.12 : 1,305.06 = 846.15 : x
  2. Step 2: Convert to fraction form
    876.12/1,305.06 = 846.15/x
  3. Step 3: Cross multiply
    876.12x = 1,305.06 × 846.15
  4. Step 4: Simplify right side
    876.12x = 1,104,273.21
  5. Step 5: Solve for x
    x = 1,104,273.21/876.12
  6. Step 6: Final answer
    x = 1,260.42

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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.