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Finding the Fourth Proportional to 945.81, 1,305.13 and 876.15

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Solution

The fourth proportional to 945.81, 1,305.13 and 876.15 is: 1,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,305.13 = 876.15 : x
  2. Step 2: Convert to fraction form
    945.81/1,305.13 = 876.15/x
  3. Step 3: Cross multiply
    945.81x = 1,305.13 × 876.15
  4. Step 4: Simplify right side
    945.81x = 1,143,489.65
  5. Step 5: Solve for x
    x = 1,143,489.65/945.81
  6. Step 6: Final answer
    x = 1,209.01

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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.