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Finding the Fourth Proportional to 945.45, 1,304.79 and 712.17

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Solution

The fourth proportional to 945.45, 1,304.79 and 712.17 is: 982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.45 : 1,304.79 = 712.17 : x
  2. Step 2: Convert to fraction form
    945.45/1,304.79 = 712.17/x
  3. Step 3: Cross multiply
    945.45x = 1,304.79 × 712.17
  4. Step 4: Simplify right side
    945.45x = 929,232.29
  5. Step 5: Solve for x
    x = 929,232.29/945.45
  6. Step 6: Final answer
    x = 982.85

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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.