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Finding the Fourth Proportional to 945.70, 1,304.97 and 876.04

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Solution

The fourth proportional to 945.70, 1,304.97 and 876.04 is: 1,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.70 : 1,304.97 = 876.04 : x
  2. Step 2: Convert to fraction form
    945.70/1,304.97 = 876.04/x
  3. Step 3: Cross multiply
    945.70x = 1,304.97 × 876.04
  4. Step 4: Simplify right side
    945.70x = 1,143,205.92
  5. Step 5: Solve for x
    x = 1,143,205.92/945.70
  6. Step 6: Final answer
    x = 1,208.85

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1.5x scale

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.