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Finding the Fourth Proportional to 945.39, 1,304.55 and 875.73

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Solution

The fourth proportional to 945.39, 1,304.55 and 875.73 is: 1,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.39 : 1,304.55 = 875.73 : x
  2. Step 2: Convert to fraction form
    945.39/1,304.55 = 875.73/x
  3. Step 3: Cross multiply
    945.39x = 1,304.55 × 875.73
  4. Step 4: Simplify right side
    945.39x = 1,142,433.57
  5. Step 5: Solve for x
    x = 1,142,433.57/945.39
  6. Step 6: Final answer
    x = 1,208.43

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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.